Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
34501	Evaluate the Limit	limit as x approaches 8 of (2x)/(2+x)	$lim_{x \to 8} \frac{2 x}{2 + x}$
34502	Evaluate the Limit	limit as x approaches 8 of (2x+3)/( square root of x^2+3)	$lim_{x \to 8} \frac{2 x + 3}{\sqrt{x^{2} + 3}}$
34503	Evaluate the Limit	limit as x approaches 8 of (-2x+3)/( square root of x^2+x)	$lim_{x \to 8} \frac{- 2 x + 3}{\sqrt{x^{2} + x}}$
34504	Evaluate the Limit	limit as x approaches 8 of (2x+3)/(4x-5)	$lim_{x \to 8} \frac{2 x + 3}{4 x - 5}$
34505	Evaluate the Limit	limit as x approaches -8 of (2x+3)/(5x+7)	$lim_{x \to - 8} \frac{2 x + 3}{5 x + 7}$
34506	Evaluate the Limit	limit as x approaches 8 of (2x+30)/(6x^12-5)	$lim_{x \to 8} \frac{2 x + 30}{6 x^{12} - 5}$
34507	Evaluate the Limit	limit as x approaches 8 of (2x+4)/(10x^2-11x+9)	$lim_{x \to 8} \frac{2 x + 4}{10 x^{2} - 11 x + 9}$
34508	Evaluate the Limit	limit as x approaches 8 of (2x+4)/(x^2-90)	$lim_{x \to 8} \frac{2 x + 4}{x^{2} - 90}$
34509	Evaluate the Limit	limit as x approaches 8 of (2x+4)/(4x+2)	$lim_{x \to 8} \frac{2 x + 4}{4 x + 2}$
34510	Evaluate the Limit	limit as x approaches -8 of (3400x)/(t+6)	$lim_{x \to - 8} \frac{3400 x}{t + 6}$
34511	Evaluate the Limit	limit as x approaches 8 of (3-4x-2x^3)/(5x^3-8x-1)	$lim_{x \to 8} \frac{3 - 4 x - 2 x^{3}}{5 x^{3} - 8 x - 1}$
34512	Evaluate the Limit	limit as x approaches 8 of (35x^4-x^3+x+2)/(7x^4+2x^3+x^2+5x+1)	$lim_{x \to 8} \frac{35 x^{4} - x^{3} + x + 2}{7 x^{4} + 2 x^{3} + x^{2} + 5 x + 1}$
34513	Evaluate the Limit	limit as x approaches 8 of (3600t)/(t+1)	$lim_{x \to 8} \frac{3600 t}{t + 1}$
34514	Evaluate the Limit	limit as x approaches 8 of (39x^5+3x^2)/(15x^4-3x)	$lim_{x \to 8} \frac{39 x^{5} + 3 x^{2}}{15 x^{4} - 3 x}$
34515	Evaluate the Limit	limit as x approaches -8 of (3x)/(1-2x^2)	$lim_{x \to - 8} \frac{3 x}{1 - 2 x^{2}}$
34516	Evaluate the Limit	limit as x approaches 8 of (3+5e^x)/((3x+5e^x)/((7+6e^(2x))/(7x+3e^(2x))))	$lim_{x \to 8} \frac{3 + 5 e^{x}}{\frac{3 x + 5 e^{x}}{\frac{7 + 6 e^{2 x}}{7 x + 3 e^{2 x}}}}$
34517	Evaluate the Limit	limit as x approaches 8 of (308x)/3	$lim_{x \to 8} \frac{308 x}{3}$
34518	Evaluate the Limit	limit as x approaches 8 of (3-2x^2)/(3x-5)	$lim_{x \to 8} \frac{3 - 2 x^{2}}{3 x - 5}$
34519	Evaluate the Limit	limit as x approaches 8 of 3/2*(6x-4)	$lim_{x \to 8} \frac{3}{2} \cdot (6 x - 4)$
34520	Evaluate the Limit	limit as x approaches 8 of -3/(4e^(2x))	$lim_{x \to 8} - \frac{3}{4 e^{2 x}}$
34521	Evaluate the Limit	limit as x approaches 8 of 3/(8-x)	$lim_{x \to 8} \frac{3}{8 - x}$
34522	Evaluate the Limit	limit as x approaches 8 of 3/(g(x))	$lim_{x \to 8} \frac{3}{g (x)}$
34523	Evaluate the Limit	limit as x approaches 8 of (3x^3+2x-1)/(2x^4-3x^3-2)	$lim_{x \to 8} \frac{3 x^{3} + 2 x - 1}{2 x^{4} - 3 x^{3} - 2}$
34524	Evaluate the Limit	limit as x approaches 8 of (3x^3+2x-9)/(2x^4-9x^3-9)	$lim_{x \to 8} \frac{3 x^{3} + 2 x - 9}{2 x^{4} - 9 x^{3} - 9}$
34525	Evaluate the Limit	limit as x approaches -8 of (3x^3+4x^2-3)/(-2x^3+x-10)	$lim_{x \to - 8} \frac{3 x^{3} + 4 x^{2} - 3}{- 2 x^{3} + x - 10}$
34526	Evaluate the Limit	limit as x approaches 8 of (3x^3+8)/(4x^3+ square root of 64x^6+1)	$lim_{x \to 8} \frac{3 x^{3} + 8}{4 x^{3} + \sqrt{64 x^{6} + 1}}$
34527	Evaluate the Limit	limit as x approaches 8 of (-3x^3-2x^2+4)/(7x^3+3x^2-4x)	$lim_{x \to 8} \frac{- 3 x^{3} - 2 x^{2} + 4}{7 x^{3} + 3 x^{2} - 4 x}$
34528	Evaluate the Limit	limit as x approaches 8 of (3x^3-5x^5+7x-1)/(5x^11+3x^7-2x^4+5)	$lim_{x \to 8} \frac{3 x^{3} - 5 x^{5} + 7 x - 1}{5 x^{11} + 3 x^{7} - 2 x^{4} + 5}$
34529	Evaluate the Limit	limit as x approaches -8 of (3x^4+6x^3-45x^2)/(x^4-34x^2+225)	$lim_{x \to - 8} \frac{3 x^{4} + 6 x^{3} - 45 x^{2}}{x^{4} - 34 x^{2} + 225}$
34530	Evaluate the Limit	limit as x approaches 8 of (3x^4+9x^3-54x^2)/(x^4-45x^2+324)	$lim_{x \to 8} \frac{3 x^{4} + 9 x^{3} - 54 x^{2}}{x^{4} - 45 x^{2} + 324}$
34531	Evaluate the Limit	limit as x approaches -8 of (3x^4-5x^3)/(x^2+5x)	$lim_{x \to - 8} \frac{3 x^{4} - 5 x^{3}}{x^{2} + 5 x}$
34532	Evaluate the Limit	limit as x approaches 8 of (3x^4-6x-2)/(3x^2-2x-4)	$lim_{x \to 8} \frac{3 x^{4} - 6 x - 2}{3 x^{2} - 2 x - 4}$
34533	Evaluate the Limit	limit as x approaches 8 of (3x^5+4x^4-31x)/(7x^4-31x^2+12)	$lim_{x \to 8} \frac{3 x^{5} + 4 x^{4} - 31 x}{7 x^{4} - 31 x^{2} + 12}$
34534	Evaluate the Limit	limit as x approaches 8 of (3x^5-2x^3)/(8x^6+7)	$lim_{x \to 8} \frac{3 x^{5} - 2 x^{3}}{8 x^{6} + 7}$
34535	Evaluate the Limit	limit as x approaches 8 of (3x^7-4x^2+1)/(5-10x^2)	$lim_{x \to 8} \frac{3 x^{7} - 4 x^{2} + 1}{5 - 10 x^{2}}$
34536	Evaluate the Limit	limit as x approaches 8 of (3x^7-4x^5)/(2x^7+1)	$lim_{x \to 8} \frac{3 x^{7} - 4 x^{5}}{2 x^{7} + 1}$
34537	Evaluate the Limit	limit as x approaches 8 of (3x^7-4x^5)/(7x^8+8)	$lim_{x \to 8} \frac{3 x^{7} - 4 x^{5}}{7 x^{8} + 8}$
34538	Evaluate the Limit	limit as x approaches 8 of 3/(2e^(3x))	$lim_{x \to 8} \frac{3}{2 e^{3 x}}$
34539	Evaluate the Limit	limit as x approaches 8 of (x^2-5x-24)/(x-8)	$lim_{x \to 8} \frac{x^{2} - 5 x - 24}{x - 8}$
34540	Evaluate the Limit	limit as x approaches 8 of (4x^3+8x-6)/(2x^4-4x^3-7)	$lim_{x \to 8} \frac{4 x^{3} + 8 x - 6}{2 x^{4} - 4 x^{3} - 7}$
34541	Evaluate the Limit	limit as x approaches 8 of (4x^3+9x-3)/(5x^4-6x^3-7)	$lim_{x \to 8} \frac{4 x^{3} + 9 x - 3}{5 x^{4} - 6 x^{3} - 7}$
34542	Evaluate the Limit	limit as x approaches 8 of (4x^3-2x-4)/(3x^2-6x-9)	$lim_{x \to 8} \frac{4 x^{3} - 2 x - 4}{3 x^{2} - 6 x - 9}$
34543	Evaluate the Limit	limit as x approaches 8 of -(4x^3-3x^2+2)/(5x^3+2x^2-4x)	$lim_{x \to 8} - \frac{4 x^{3} - 3 x^{2} + 2}{5 x^{3} + 2 x^{2} - 4 x}$
34544	Evaluate the Limit	limit as x approaches 8 of (4x^4+16x^3-48x^2)/(x^4-40x^2+144)	$lim_{x \to 8} \frac{4 x^{4} + 16 x^{3} - 48 x^{2}}{x^{4} - 40 x^{2} + 144}$
34545	Evaluate the Limit	limit as x approaches 8 of (4x^4+4x^3-80x^2)/(x^4-41x^2+400)	$lim_{x \to 8} \frac{4 x^{4} + 4 x^{3} - 80 x^{2}}{x^{4} - 41 x^{2} + 400}$
34546	Evaluate the Limit	limit as x approaches -8 of (4x^4-3x^2)/(5x^6+8)	$lim_{x \to - 8} \frac{4 x^{4} - 3 x^{2}}{5 x^{6} + 8}$
34547	Evaluate the Limit	limit as x approaches -8 of (4e^x-e^(-x))/(e^x-5e^(-x))	$lim_{x \to - 8} \frac{4 e^{x} - e^{- x}}{e^{x} - 5 e^{- x}}$
34548	Evaluate the Limit	limit as x approaches 8 of (4u^4+5)/((u^2-2)(2u^2-1))	$lim_{x \to 8} \frac{4 u^{4} + 5}{(u^{2} - 2) (2 u^{2} - 1)}$
34549	Evaluate the Limit	limit as x approaches 8 of (4x^(8/3)-x^(7/3)+7)/(x^(13/5)+3x+ square root of x)	$lim_{x \to 8} \frac{4 x^{\frac{8}{3}} - x^{\frac{7}{3}} + 7}{x^{\frac{13}{5}} + 3 x + \sqrt{x}}$
34550	Evaluate the Limit	limit as x approaches 8 of (4x^2)/(e^(x^2))	$lim_{x \to 8} \frac{4 x^{2}}{e^{x^{2}}}$
34551	Evaluate the Limit	limit as x approaches 8 of (4x^2+5x-1)/(3x^2-4x)	$lim_{x \to 8} \frac{4 x^{2} + 5 x - 1}{3 x^{2} - 4 x}$
34552	Evaluate the Limit	limit as x approaches 8 of (4x^2+9)/( square root of x^7+6x^2-5)	$lim_{x \to 8} \frac{4 x^{2} + 9}{\sqrt{x^{7} + 6 x^{2} - 5}}$
34553	Evaluate the Limit	limit as x approaches -8 of (3x+1)/( square root of x^2+x)	$lim_{x \to - 8} \frac{3 x + 1}{\sqrt{x^{2} + x}}$
34554	Evaluate the Limit	limit as x approaches 8 of (-3x+1)/( square root of x^2+x)	$lim_{x \to 8} \frac{- 3 x + 1}{\sqrt{x^{2} + x}}$
34555	Evaluate the Limit	limit as x approaches -8 of (3x+1)/(9x^2+8x-2)	$lim_{x \to - 8} \frac{3 x + 1}{9 x^{2} + 8 x - 2}$
34556	Evaluate the Limit	limit as x approaches 100 of (x-100)/( square root of x-10)	$lim_{x \to 100} \frac{x - 100}{\sqrt{x} - 10}$
34557	Evaluate the Limit	limit as x approaches -8 of (3x+5)/( square root of x^2+4)	$lim_{x \to - 8} \frac{3 x + 5}{\sqrt{x^{2} + 4}}$
34558	Evaluate the Limit	limit as x approaches 8 of (3x+5)/( square root of 4x^2-9)	$lim_{x \to 8} \frac{3 x + 5}{\sqrt{4 x^{2} - 9}}$
34559	Evaluate the Limit	limit as x approaches 8 of (3x-2)/( square root of 4x^2+1)	$lim_{x \to 8} \frac{3 x - 2}{\sqrt{4 x^{2} + 1}}$
34560	Find the Derivative - d/d@VAR	f(x)=x^2-2x-8	$f (x) = x^{2} - 2 x - 8$
34561	Evaluate the Limit	limit as x approaches 8 of (3x-5)/(4x+9)	$lim_{x \to 8} \frac{3 x - 5}{4 x + 9}$
34562	Evaluate the Limit	limit as x approaches 8 of (3x+9)/(x^2-90)	$lim_{x \to 8} \frac{3 x + 9}{x^{2} - 90}$
34563	Evaluate the Limit	limit as x approaches -8 of 3/x-x/3	$lim_{x \to - 8} \frac{3}{x} - \frac{x}{3}$
34564	Evaluate the Limit	limit as x approaches 8 of (7.999-8)/(7.999^2-7*7.999-8)	$lim_{x \to 8} \frac{7.999 - 8}{{7.999}^{2} - 7 \cdot 7.999 - 8}$
34565	Evaluate the Limit	limit as x approaches 8 of (7 square root of x+x^-9)/(9x-8)	$lim_{x \to 8} \frac{7 \sqrt{x} + x^{- 9}}{9 x - 8}$
34566	Evaluate the Limit	limit as x approaches 8 of (7x^2+1)/(3x^2-12)	$lim_{x \to 8} \frac{7 x^{2} + 1}{3 x^{2} - 12}$
34567	Evaluate the Limit	limit as x approaches 8 of (7x^2+19x)/(2x^2+7)	$lim_{x \to 8} \frac{7 x^{2} + 19 x}{2 x^{2} + 7}$
34568	Evaluate the Limit	limit as x approaches 8 of (7x^2+3x+12)/(x^4-x)	$lim_{x \to 8} \frac{7 x^{2} + 3 x + 12}{x^{4} - x}$
34569	Evaluate the Limit	limit as x approaches -8 of (7x^2+4x)/(9-3x^2)	$lim_{x \to - 8} \frac{7 x^{2} + 4 x}{9 - 3 x^{2}}$
34570	Evaluate the Limit	limit as x approaches 8 of (7x^2+4x-3)/(2x^2-6x)	$lim_{x \to 8} \frac{7 x^{2} + 4 x - 3}{2 x^{2} - 6 x}$
34571	Evaluate the Limit	limit as x approaches 8 of (7x^2+x*sin(x))/(3-x^2+sin(7x^2))	$lim_{x \to 8} \frac{7 x^{2} + x \cdot \sin (x)}{3 - x^{2} + \sin (7 x^{2})}$
34572	Evaluate the Limit	limit as x approaches 8 of (-6x^3+4x)/(9x^2-3x-4)	$lim_{x \to 8} \frac{- 6 x^{3} + 4 x}{9 x^{2} - 3 x - 4}$
34573	Evaluate the Limit	limit as x approaches 8 of (6x^3+8x-9)/(8x^4-4^3-8)	$lim_{x \to 8} \frac{6 x^{3} + 8 x - 9}{8 x^{4} - 4^{3} - 8}$
34574	Evaluate the Limit	limit as x approaches 8 of (6x^3-6x-8)/(8x^2-7x-7)	$lim_{x \to 8} \frac{6 x^{3} - 6 x - 8}{8 x^{2} - 7 x - 7}$
34575	Evaluate the Limit	limit as x approaches 8 of (6x^3-9x-8)/(7x^2-8x-5)	$lim_{x \to 8} \frac{6 x^{3} - 9 x - 8}{7 x^{2} - 8 x - 5}$
34576	Evaluate the Limit	limit as x approaches 8 of (6x^4-6x-6)/(6x^3-2x-6)	$lim_{x \to 8} \frac{6 x^{4} - 6 x - 6}{6 x^{3} - 2 x - 6}$
34577	Evaluate the Limit	limit as x approaches -8 of (6x^4-7x^2)/(5x^5+8)	$lim_{x \to - 8} \frac{6 x^{4} - 7 x^{2}}{5 x^{5} + 8}$
34578	Evaluate the Limit	limit as x approaches 8 of (6x^5-3x^3)/(11-12x^4)	$lim_{x \to 8} \frac{6 x^{5} - 3 x^{3}}{11 - 12 x^{4}}$
34579	Evaluate the Limit	limit as x approaches 8 of (6x^5-4x)/(2x^5-4x^4)	$lim_{x \to 8} \frac{6 x^{5} - 4 x}{2 x^{5} - 4 x^{4}}$
34580	Evaluate the Limit	limit as x approaches 8 of (6x^7+4x^6+5)/(4x^8)	$lim_{x \to 8} \frac{6 x^{7} + 4 x^{6} + 5}{4 x^{8}}$
34581	Evaluate the Limit	limit as x approaches 8 of -6/(5x^3 square root of x)	$lim_{x \to 8} - \frac{6}{5 x^{3} \sqrt{x}}$
34582	Evaluate the Limit	limit as x approaches 8 of 6/x-11	$lim_{x \to 8} \frac{6}{x} - 11$
34583	Evaluate the Limit	limit as x approaches -8 of 6/x-3	$lim_{x \to - 8} \frac{6}{x} - 3$
34584	Evaluate the Limit	limit as x approaches 8 of (6-3x^2)/(6x-8)	$lim_{x \to 8} \frac{6 - 3 x^{2}}{6 x - 8}$
34585	Evaluate the Limit	limit as x approaches 8 of 64/(x^4)*((x^2(x+1)^2)/16)	$lim_{x \to 8} \frac{64}{x^{4}} \cdot (\frac{x^{2} {(x + 1)}^{2}}{16})$
34586	Evaluate the Limit	limit as x approaches 8 of (6-7x)/(x+3)	$lim_{x \to 8} \frac{6 - 7 x}{x + 3}$
34587	Evaluate the Limit	limit as x approaches 8 of (69x^2+35-83x^4)/(55x^4-91x^3-87)	$lim_{x \to 8} \frac{69 x^{2} + 35 - 83 x^{4}}{55 x^{4} - 91 x^{3} - 87}$
34588	Evaluate the Limit	limit as x approaches 8 of (6x-x^3)/(x^2+2x+3)	$lim_{x \to 8} \frac{6 x - x^{3}}{x^{2} + 2 x + 3}$
34589	Evaluate the Limit	limit as x approaches 8 of (6x+12)/(3x-19)	$lim_{x \to 8} \frac{6 x + 12}{3 x - 19}$
34590	Evaluate the Limit	limit as x approaches 8 of (6x+2)/( square root of 9x^2+1)	$lim_{x \to 8} \frac{6 x + 2}{\sqrt{9 x^{2} + 1}}$
34591	Evaluate the Limit	limit as x approaches 8 of (6x-21x^3+11)/( square root of x+3x^3)	$lim_{x \to 8} \frac{6 x - 21 x^{3} + 11}{\sqrt{x} + 3 x^{3}}$
34592	Evaluate the Limit	limit as x approaches 8 of (5x+1)/(x-3)	$lim_{x \to 8} \frac{5 x + 1}{x - 3}$
34593	Evaluate the Limit	limit as x approaches 8 of (5x+11)/(x^2+17)	$lim_{x \to 8} \frac{5 x + 11}{x^{2} + 17}$
34594	Evaluate the Limit	limit as x approaches 8 of (5x+2)/(-3x-2)	$lim_{x \to 8} \frac{5 x + 2}{- 3 x - 2}$
34595	Evaluate the Limit	limit as x approaches -8 of (5x+3)/(4x+7)	$lim_{x \to - 8} \frac{5 x + 3}{4 x + 7}$
34596	Evaluate the Limit	limit as x approaches 8 of (5x-2)/(2x+9)	$lim_{x \to 8} \frac{5 x - 2}{2 x + 9}$
34597	Evaluate the Limit	limit as x approaches -8 of (5x-6)/( square root of 9x^2+8)	$lim_{x \to - 8} \frac{5 x - 6}{\sqrt{9 x^{2} + 8}}$
34598	Evaluate the Limit	limit as x approaches 8 of (5x-8)/(2x+1)	$lim_{x \to 8} \frac{5 x - 8}{2 x + 1}$
34599	Evaluate the Limit	limit as x approaches 8 of (5x-8)/(7x^2-14)	$lim_{x \to 8} \frac{5 x - 8}{7 x^{2} - 14}$
34600	Evaluate the Limit	limit as x approaches 8 of (6 square root of 1+x^2)/(3x^2)	$lim_{x \to 8} \frac{6 \sqrt{1 + x^{2}}}{3 x^{2}}$