Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
34401	Evaluate the Limit	limit as x approaches 8 of 110000/x	$lim_{x \to 8} \frac{110000}{x}$
34402	Evaluate the Limit	limit as x approaches 8 of (11x)/(11+x)	$lim_{x \to 8} \frac{11 x}{11 + x}$
34403	Evaluate the Limit	limit as x approaches 8 of (12n^3-2n^2+9)/(4n^3)	$lim_{x \to 8} \frac{12 n^{3} - 2 n^{2} + 9}{4 n^{3}}$
34404	Evaluate the Limit	limit as x approaches 8 of (12x^2-5x+8)/(4x^2+7x+3)	$lim_{x \to 8} \frac{12 x^{2} - 5 x + 8}{4 x^{2} + 7 x + 3}$
34405	Evaluate the Limit	limit as x approaches 8 of (-12x^2-6x+7)/(-4x^2-7x+2)	$lim_{x \to 8} \frac{- 12 x^{2} - 6 x + 7}{- 4 x^{2} - 7 x + 2}$
34406	Evaluate the Limit	limit as x approaches -8 of (12x^3)/(3000x^2)	$lim_{x \to - 8} \frac{12 x^{3}}{3000 x^{2}}$
34407	Evaluate the Limit	limit as x approaches 8 of (1-2x^3)/(x-1)	$lim_{x \to 8} \frac{1 - 2 x^{3}}{x - 1}$
34408	Evaluate the Limit	limit as x approaches 8 of (128(x^2+7x))/((x^2+8x+20)^2)	$lim_{x \to 8} \frac{128 (x^{2} + 7 x)}{{(x^{2} + 8 x + 20)}^{2}}$
34409	Evaluate the Limit	limit as x approaches 8 of (1-2x)/(x+2)	$lim_{x \to 8} \frac{1 - 2 x}{x + 2}$
34410	Evaluate the Limit	limit as x approaches 8 of 1/(3- square root of x)	$lim_{x \to 8} \frac{1}{3 - \sqrt{x}}$
34411	Evaluate the Limit	limit as x approaches 8 of -1/3x^3+x^2	$lim_{x \to 8} - \frac{1}{3} x^{3} + x^{2}$
34412	Evaluate the Limit	limit as x approaches -8 of 1/3*cos(x)	$lim_{x \to - 8} \frac{1}{3} \cdot \cos (x)$
34413	Evaluate the Limit	limit as x approaches 8 of 1/(5x)	$lim_{x \to 8} \frac{1}{5 x}$
34414	Evaluate the Limit	limit as x approaches 8 of 1/8	$lim_{x \to 8} \frac{1}{8}$
34415	Evaluate the Limit	limit as x approaches 8 of 1/(8x+5)	$lim_{x \to 8} \frac{1}{8 x + 5}$
34416	Evaluate the Limit	limit as x approaches 8 of (1/t)sin(1/(1/t))	$lim_{x \to 8} (\frac{1}{t}) \sin (\frac{1}{\frac{1}{t}})$
34417	Evaluate the Limit	limit as x approaches 8 of 1/(x+8)	$lim_{x \to 8} \frac{1}{x + 8}$
34418	Evaluate the Limit	limit as x approaches 8 of 1/(x-1)	$lim_{x \to 8} \frac{1}{x - 1}$
34419	Evaluate the Limit	limit as x approaches 8 of 1/(x-12)	$lim_{x \to 8} \frac{1}{x - 12}$
34420	Find the Derivative - d/d@VAR	p(theta) = square root of 3theta	$p (θ) = \sqrt{3 θ}$
34421	Evaluate the Limit	limit as x approaches -8 of (1-x^2)/(2x)	$lim_{x \to - 8} \frac{1 - x^{2}}{2 x}$
34422	Evaluate the Limit	limit as x approaches 8 of 1/((0.98)^x)	$lim_{x \to 8} \frac{1}{{(0.98)}^{x}}$
34423	Evaluate the Limit	limit as x approaches -8 of 1/(-1000^2+9)	$lim_{x \to - 8} \frac{1}{- 1000^{2} + 9}$
34424	Evaluate the Limit	limit as x approaches 8 of 1/(arccos(x))	$lim_{x \to 8} \frac{1}{\arccos (x)}$
34425	Evaluate the Limit	limit as x approaches 8 of 1/(x^1.0001)	$lim_{x \to 8} \frac{1}{x^{1.0001}}$
34426	Evaluate the Limit	limit as x approaches 8 of (x^700)/(3^x)	$lim_{x \to 8} \frac{x^{700}}{3^{x}}$
34427	Evaluate the Limit	limit as x approaches 8 of (x^7000)/(e^x)	$lim_{x \to 8} \frac{x^{7000}}{e^{x}}$
34428	Evaluate the Limit	limit as x approaches 8 of (x^9+8)/(x^8-5)	$lim_{x \to 8} \frac{x^{9} + 8}{x^{8} - 5}$
34429	Evaluate the Limit	limit as x approaches 8 of \|x^2sin(1/x)\|	$lim_{x \to 8} \| x^{2} \sin (\frac{1}{x}) \|$
34430	Evaluate the Limit	limit as x approaches 8 of \|32\|	$lim_{x \to 8} \| 32 \|$
34431	Evaluate the Limit	limit as x approaches 8 of 0.3^x	$lim_{x \to 8} {0.3}^{x}$
34432	Evaluate the Limit	limit as x approaches 8 of 0.5^x	$lim_{x \to 8} {0.5}^{x}$
34433	Evaluate the Limit	limit as x approaches -8 of 0.77^x	$lim_{x \to - 8} {0.77}^{x}$
34434	Evaluate the Limit	limit as x approaches 8 of (0.7x+500)/x	$lim_{x \to 8} \frac{0.7 x + 500}{x}$
34435	Evaluate the Limit	limit as x approaches 8 of 0/8	$lim_{x \to 8} \frac{0}{8}$
34436	Evaluate the Limit	limit as x approaches 8 of (1x^2)/(x^2-4)	$lim_{x \to 8} \frac{1 x^{2}}{x^{2} - 4}$
34437	Evaluate the Limit	limit as x approaches 8 of (x^7+2)/(x^6-6)	$lim_{x \to 8} \frac{x^{7} + 2}{x^{6} - 6}$
34438	Evaluate the Limit	limit as x approaches -8 of (x^7+3x^5+e^(pi/2))/(2x^7-x^6+3x^2-2)	$lim_{x \to - 8} \frac{x^{7} + 3 x^{5} + e^{\frac{π}{2}}}{2 x^{7} - x^{6} + 3 x^{2} - 2}$
34439	Evaluate the Limit	limit as x approaches 8 of 1/(x^(sin(x)+2))	$lim_{x \to 8} \frac{1}{x^{\sin (x) + 2}}$
34440	Evaluate the Limit	limit as x approaches 8 of 1/2*(1.6/e)^(6x)	$lim_{x \to 8} \frac{1}{2} \cdot {(\frac{1.6}{e})}^{6 x}$
34441	Evaluate the Limit	limit as x approaches -8 of -1/(2x)	$lim_{x \to - 8} - \frac{1}{2 x}$
34442	Evaluate the Limit	limit as x approaches 8 of (2x^2-4x)/(x+5)	$lim_{x \to 8} \frac{2 x^{2} - 4 x}{x + 5}$
34443	Evaluate the Limit	limit as x approaches 8 of (2x^2-6)/((x-1)^2)	$lim_{x \to 8} \frac{2 x^{2} - 6}{{(x - 1)}^{2}}$
34444	Evaluate the Limit	limit as x approaches 8 of (2x^2-7)/(4x^2+100x-6)	$lim_{x \to 8} \frac{2 x^{2} - 7}{4 x^{2} + 100 x - 6}$
34445	Evaluate the Limit	limit as x approaches -8 of (2x^2-8)/(11x+5)	$lim_{x \to - 8} \frac{2 x^{2} - 8}{11 x + 5}$
34446	Evaluate the Limit	limit as x approaches 8 of (2x^3+10x^2+12x)/(x^3+3x^2)	$lim_{x \to 8} \frac{2 x^{3} + 10 x^{2} + 12 x}{x^{3} + 3 x^{2}}$
34447	Evaluate the Limit	limit as x approaches 8 of (-2x^3-2x^2+3)/(7x^3+4x^2-3x)	$lim_{x \to 8} \frac{- 2 x^{3} - 2 x^{2} + 3}{7 x^{3} + 4 x^{2} - 3 x}$
34448	Evaluate the Limit	limit as x approaches -8 of (2x^3-3x^2+1)/(x^4+3x^3+1000x-4)	$lim_{x \to - 8} \frac{2 x^{3} - 3 x^{2} + 1}{x^{4} + 3 x^{3} + 1000 x - 4}$
34449	Evaluate the Limit	limit as x approaches 8 of (2x^3-4)/(x^3-5x^2+x)	$lim_{x \to 8} \frac{2 x^{3} - 4}{x^{3} - 5 x^{2} + x}$
34450	Evaluate the Limit	limit as x approaches 8 of (2x^3-4x+5)/(4x^3+6x^2-2)	$lim_{x \to 8} \frac{2 x^{3} - 4 x + 5}{4 x^{3} + 6 x^{2} - 2}$
34451	Evaluate the Limit	limit as x approaches 8 of (2x^3-8x)/(3x^3-4x)	$lim_{x \to 8} \frac{2 x^{3} - 8 x}{3 x^{3} - 4 x}$
34452	Evaluate the Limit	limit as x approaches 8 of (2x^4+2x^3-40x^2)/(x^4-41x^2+400)	$lim_{x \to 8} \frac{2 x^{4} + 2 x^{3} - 40 x^{2}}{x^{4} - 41 x^{2} + 400}$
34453	Evaluate the Limit	limit as x approaches -8 of (2x^4+20x^3)/(1000x^4+6)	$lim_{x \to - 8} \frac{2 x^{4} + 20 x^{3}}{1000 x^{4} + 6}$
34454	Evaluate the Limit	limit as x approaches 8 of (2x^4+3x-6)/(5x^3+4)	$lim_{x \to 8} \frac{2 x^{4} + 3 x - 6}{5 x^{3} + 4}$
34455	Evaluate the Limit	limit as x approaches -8 of (2x^4+6x^3-36x^2)/(x^4-45x^2+324)	$lim_{x \to - 8} \frac{2 x^{4} + 6 x^{3} - 36 x^{2}}{x^{4} - 45 x^{2} + 324}$
34456	Evaluate the Limit	limit as x approaches 8 of (2x^4+7x^3-8x)/(5x^2+6x-9)	$lim_{x \to 8} \frac{2 x^{4} + 7 x^{3} - 8 x}{5 x^{2} + 6 x - 9}$
34457	Evaluate the Limit	limit as x approaches 8 of (2x^4-3x^2+1)/(x^4+3x^3+1000x-4)	$lim_{x \to 8} \frac{2 x^{4} - 3 x^{2} + 1}{x^{4} + 3 x^{3} + 1000 x - 4}$
34458	Evaluate the Limit	limit as x approaches 8 of (2x^4-5x-5)/(5x^3-5x-2)	$lim_{x \to 8} \frac{2 x^{4} - 5 x - 5}{5 x^{3} - 5 x - 2}$
34459	Evaluate the Limit	limit as x approaches 8 of (2x^5)/(x^6-2)	$lim_{x \to 8} \frac{2 x^{5}}{x^{6} - 2}$
34460	Evaluate the Limit	limit as x approaches 8 of (2x^6+14x^4-242-46)/(x-16)	$lim_{x \to 8} \frac{2 x^{6} + 14 x^{4} - 242 - 46}{x - 16}$
34461	Evaluate the Limit	limit as x approaches 8 of 1350/(1+4.2(1.7)^(-x))	$lim_{x \to 8} \frac{1350}{1 + 4.2 {(1.7)}^{- x}}$
34462	Evaluate the Limit	limit as x approaches 8 of (13x-6)/(16x+3)	$lim_{x \to 8} \frac{13 x - 6}{16 x + 3}$
34463	Evaluate the Limit	limit as x approaches 8 of (-14x^2-2x+8)/(-2x^2-3x+14)	$lim_{x \to 8} \frac{- 14 x^{2} - 2 x + 8}{- 2 x^{2} - 3 x + 14}$
34464	Evaluate the Limit	limit as x approaches -8 of (14x^5+x+9)/((3x^5-8)x^3)	$lim_{x \to - 8} \frac{14 x^{5} + x + 9}{(3 x^{5} - 8) x^{3}}$
34465	Evaluate the Limit	limit as x approaches 8 of 14/x	$lim_{x \to 8} \frac{14}{x}$
34466	Evaluate the Limit	limit as x approaches 8 of (15e^(1/x)-15x)/(1/x)	$lim_{x \to 8} \frac{15 e^{\frac{1}{x}} - 15 x}{\frac{1}{x}}$
34467	Evaluate the Limit	limit as x approaches -8 of (15x^3-4x+7)/( square root of 25x^6+x^2)	$lim_{x \to - 8} \frac{15 x^{3} - 4 x + 7}{\sqrt{25 x^{6} + x^{2}}}$
34468	Evaluate the Limit	limit as x approaches 8 of 15/11	$lim_{x \to 8} \frac{15}{11}$
34469	Evaluate the Limit	limit as x approaches 8 of (15x)/(x^2-6x+11)	$lim_{x \to 8} \frac{15 x}{x^{2} - 6 x + 11}$
34470	Evaluate the Limit	limit as x approaches 8 of (15x-19)/(3x)	$lim_{x \to 8} \frac{15 x - 19}{3 x}$
34471	Evaluate the Limit	limit as x approaches 8 of (1-7x^2)/(2x+4)	$lim_{x \to 8} \frac{1 - 7 x^{2}}{2 x + 4}$
34472	Evaluate the Limit	limit as x approaches -8 of 17/(x^2-77)	$lim_{x \to - 8} \frac{17}{x^{2} - 77}$
34473	Evaluate the Limit	limit as x approaches -8 of (19x^4)/(14x^4+8x^3+16x^2)	$lim_{x \to - 8} \frac{19 x^{4}}{14 x^{4} + 8 x^{3} + 16 x^{2}}$
34474	Evaluate the Limit	limit as x approaches -8 of (1-x-x^2)/(2x^2-7)	$lim_{x \to - 8} \frac{1 - x - x^{2}}{2 x^{2} - 7}$
34475	Evaluate the Limit	limit as x approaches 8 of (2x^2+3x+4)/(3x^3-4x^2-1)	$lim_{x \to 8} \frac{2 x^{2} + 3 x + 4}{3 x^{3} - 4 x^{2} - 1}$
34476	Evaluate the Limit	limit as x approaches 8 of (2x^2+3x+5)/(14-x-3x^2)	$lim_{x \to 8} \frac{2 x^{2} + 3 x + 5}{14 - x - 3 x^{2}}$
34477	Evaluate the Limit	limit as x approaches 8 of (2x^2+4x+5)/( square root of x^4-81)	$lim_{x \to 8} \frac{2 x^{2} + 4 x + 5}{\sqrt{x^{4} - 81}}$
34478	Evaluate the Limit	limit as x approaches 8 of (2x^2+x+4x^3)/(2x^3+13x^2)	$lim_{x \to 8} \frac{2 x^{2} + x + 4 x^{3}}{2 x^{3} + 13 x^{2}}$
34479	Evaluate the Limit	limit as x approaches 8 of (2x^2+3)/(5x^2+7)	$lim_{x \to 8} \frac{2 x^{2} + 3}{5 x^{2} + 7}$
34480	Evaluate the Limit	limit as x approaches 8 of (2x-8)/(8x+5)	$lim_{x \to 8} \frac{2 x - 8}{8 x + 5}$
34481	Evaluate the Limit	limit as x approaches 8 of (2x-9)/( square root of x^2-x+5)	$lim_{x \to 8} \frac{2 x - 9}{\sqrt{x^{2} - x + 5}}$
34482	Evaluate the Limit	limit as x approaches 8 of (3e^(-x))/( natural log of 1+7e^(-x))	$lim_{x \to 8} \frac{3 e^{- x}}{\ln (1 + 7 e^{- x})}$
34483	Evaluate the Limit	limit as x approaches 8 of (3 square root of x+x^-7)/(7x-5)	$lim_{x \to 8} \frac{3 \sqrt{x} + x^{- 7}}{7 x - 5}$
34484	Evaluate the Limit	limit as x approaches 8 of (3x^(3/2))/(4x^(3/2)+4)	$lim_{x \to 8} \frac{3 x^{\frac{3}{2}}}{4 x^{\frac{3}{2}} + 4}$
34485	Evaluate the Limit	limit as x approaches 8 of (3x^2-(x^3-1)^(2/3))/(4x^2+8x-3)	$lim_{x \to 8} \frac{3 x^{2} - {(x^{3} - 1)}^{\frac{2}{3}}}{4 x^{2} + 8 x - 3}$
34486	Evaluate the Limit	limit as x approaches 8 of (3x^2+20x)/(2x^4+3x^3-29)	$lim_{x \to 8} \frac{3 x^{2} + 20 x}{2 x^{4} + 3 x^{3} - 29}$
34487	Evaluate the Limit	limit as x approaches 8 of (3x^2+20x+100)/(5x^2+7)	$lim_{x \to 8} \frac{3 x^{2} + 20 x + 100}{5 x^{2} + 7}$
34488	Evaluate the Limit	limit as x approaches -8 of 2/x-8	$lim_{x \to - 8} \frac{2}{x} - 8$
34489	Evaluate the Limit	limit as x approaches 8 of (3x^2-6x)/(4x-8)	$lim_{x \to 8} \frac{3 x^{2} - 6 x}{4 x - 8}$
34490	Evaluate the Limit	limit as x approaches 8 of (3x^3+18x^2+15x)/(x^3+5x^2)	$lim_{x \to 8} \frac{3 x^{3} + 18 x^{2} + 15 x}{x^{3} + 5 x^{2}}$
34491	Evaluate the Limit	limit as x approaches 8 of (3x^3+2)/(2x^3+4x^2+1)	$lim_{x \to 8} \frac{3 x^{3} + 2}{2 x^{3} + 4 x^{2} + 1}$
34492	Evaluate the Limit	limit as x approaches 8 of (2x-16)/(6x^2-384)	$lim_{x \to 8} \frac{2 x - 16}{6 x^{2} - 384}$
34493	Evaluate the Limit	limit as x approaches -2 of (x^2-7)/(2-x)	$lim_{x \to - 2} \frac{x^{2} - 7}{2 - x}$
34494	Evaluate the Limit	limit as x approaches 8 of (2x-5)/(4x+3)	$lim_{x \to 8} \frac{2 x - 5}{4 x + 3}$
34495	Evaluate the Limit	limit as x approaches 8 of (2x-5)/(x-8)	$lim_{x \to 8} \frac{2 x - 5}{x - 8}$
34496	Evaluate the Limit	limit as x approaches 8 of (20x^4-x^3+x+6)/(5x^4+2x^3+x^2+5x+8)	$lim_{x \to 8} \frac{20 x^{4} - x^{3} + x + 6}{5 x^{4} + 2 x^{3} + x^{2} + 5 x + 8}$
34497	Evaluate the Limit	limit as x approaches 8 of (2-3x^2)/(5x^2+4x)	$lim_{x \to 8} \frac{2 - 3 x^{2}}{5 x^{2} + 4 x}$
34498	Evaluate the Limit	limit as x approaches 8 of (24x^2-5x+8)/(8x^2+7x+3)	$lim_{x \to 8} \frac{24 x^{2} - 5 x + 8}{8 x^{2} + 7 x + 3}$
34499	Find the Derivative - d/d@VAR	f(x) = square root of x^2-9	$f (x) = \sqrt{x^{2} - 9}$
34500	Evaluate the Limit	limit as x approaches 8 of (2x)/(x^2-3x)	$lim_{x \to 8} \frac{2 x}{x^{2} - 3 x}$