Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
33501	Evaluate the Limit	limit as x approaches 8 of (arctan(x))/(x+2)*(x+ square root of x^2+2x)	$lim_{x \to 8} \frac{\arctan (x)}{x + 2} \cdot (x + \sqrt{x^{2} + 2 x})$
33502	Evaluate the Limit	limit as x approaches 8 of (cos(x^5))/( square root of x)	$lim_{x \to 8} \frac{\cos (x^{5})}{\sqrt{x}}$
33503	Evaluate the Limit	limit as x approaches 8 of (cos(5x))/x	$lim_{x \to 8} \frac{\cos (5 x)}{x}$
33504	Evaluate the Limit	limit as x approaches 8 of (cos(x))/(x^2)	$lim_{x \to 8} \frac{\cos (x)}{x^{2}}$
33505	Evaluate the Limit	limit as x approaches 8 of (8/10) log of 8*sin(pi)	$lim_{x \to 8} (\frac{8}{10}) \log (8) \cdot \sin (π)$
33506	Evaluate the Limit	limit as x approaches 8 of 8/800000	$lim_{x \to 8} \frac{8}{800000}$
33507	Evaluate the Limit	limit as x approaches 8 of (8/x)-6	$lim_{x \to 8} (\frac{8}{x}) - 6$
33508	Evaluate the Limit	limit as x approaches 8 of -8^2+8(8)	$lim_{x \to 8} - 8^{2} + 8 (8)$
33509	Evaluate the Limit	limit as x approaches 8 of (-8+4/x)/(6-3/(x^2))	$lim_{x \to 8} \frac{- 8 + \frac{4}{x}}{6 - \frac{3}{x^{2}}}$
33510	Evaluate the Limit	limit as x approaches -8 of -(-8+9/x)/(8-6/(x^2))	$lim_{x \to - 8} - \frac{- 8 + \frac{9}{x}}{8 - \frac{6}{x^{2}}}$
33511	Evaluate the Limit	limit as x approaches 8 of (8+9x+2x^3)/(x^3)	$lim_{x \to 8} \frac{8 + 9 x + 2 x^{3}}{x^{3}}$
33512	Evaluate the Limit	limit as n approaches infinity of n root of n	$lim_{n \to \infty} \sqrt[n]{n}$
33513	Evaluate the Limit	limit as x approaches 8 of (8+x+9x^2)/(x^2)	$lim_{x \to 8} \frac{8 + x + 9 x^{2}}{x^{2}}$
33514	Evaluate the Limit	limit as x approaches -8 of 80/(e^x-1)	$lim_{x \to - 8} \frac{80}{e^{x} - 1}$
33515	Evaluate the Limit	limit as x approaches 8 of 800/( square root of 7(10000)-600)	$lim_{x \to 8} \frac{800}{\sqrt{7 (10000) - 600}}$
33516	Evaluate the Limit	limit as x approaches 8 of 8000/( square root of 7(10000)-6000)	$lim_{x \to 8} \frac{8000}{\sqrt{7 (10000) - 6000}}$
33517	Evaluate the Limit	limit as x approaches 8 of 8000/( square root of 7(1000000)-6000)	$lim_{x \to 8} \frac{8000}{\sqrt{7 (1000000) - 6000}}$
33518	Evaluate the Limit	limit as x approaches 8 of 80000/( square root of 7(1000000000)-60000)	$lim_{x \to 8} \frac{80000}{\sqrt{7 (1000000000) - 60000}}$
33519	Evaluate the Limit	limit as x approaches -8 of (88x^2+3x-1)/(89x^4+x^2+1)	$lim_{x \to - 8} \frac{88 x^{2} + 3 x - 1}{89 x^{4} + x^{2} + 1}$
33520	Evaluate the Limit	limit as x approaches -8 of (-88x^3+3x-1)/(89x^2+x^2+1)	$lim_{x \to - 8} \frac{- 88 x^{3} + 3 x - 1}{89 x^{2} + x^{2} + 1}$
33521	Evaluate the Limit	limit as x approaches 8 of (8-cos(x))/(x^2)	$lim_{x \to 8} \frac{8 - \cos (x)}{x^{2}}$
33522	Evaluate the Limit	limit as x approaches 8 of (7-x)/((x-8)^2)	$lim_{x \to 8} \frac{7 - x}{{(x - 8)}^{2}}$
33523	Evaluate the Limit	limit as x approaches 8 of (7x)/(8x-9)	$lim_{x \to 8} \frac{7 x}{8 x - 9}$
33524	Evaluate the Limit	limit as x approaches 8 of (7x+9)/(4x-7)	$lim_{x \to 8} \frac{7 x + 9}{4 x - 7}$
33525	Evaluate the Limit	limit as x approaches 8 of (7x-4)/(2x+9)	$lim_{x \to 8} \frac{7 x - 4}{2 x + 9}$
33526	Evaluate the Limit	limit as x approaches 8 of (7x-4)/(9x+6)	$lim_{x \to 8} \frac{7 x - 4}{9 x + 6}$
33527	Evaluate the Limit	limit as x approaches -8 of (8x^2+7x^(1/3))/( square root of 16x^4+6)	$lim_{x \to - 8} \frac{8 x^{2} + 7 x^{\frac{1}{3}}}{\sqrt{16 x^{4} + 6}}$
33528	Evaluate the Limit	limit as x approaches 8 of (8x^2+9x+5)/(8x^2-4x+9)	$lim_{x \to 8} \frac{8 x^{2} + 9 x + 5}{8 x^{2} - 4 x + 9}$
33529	Evaluate the Limit	limit as x approaches -8 of (8x^2-5)/(9x+4)	$lim_{x \to - 8} \frac{8 x^{2} - 5}{9 x + 4}$
33530	Evaluate the Limit	limit as x approaches 8 of (8x^2-8x+7)/(2x^2+3)	$lim_{x \to 8} \frac{8 x^{2} - 8 x + 7}{2 x^{2} + 3}$
33531	Evaluate the Limit	limit as x approaches -8 of (8x^4)/(16x^4*(15x^3)+12x^2)	$lim_{x \to - 8} \frac{8 x^{4}}{16 x^{4} \cdot (15 x^{3}) + 12 x^{2}}$
33532	Evaluate the Limit	limit as x approaches 8 of (7x^4)/(12x^4+5x^3+14x^2)	$lim_{x \to 8} \frac{7 x^{4}}{12 x^{4} + 5 x^{3} + 14 x^{2}}$
33533	Evaluate the Limit	limit as x approaches 8 of (7x^4-6x-5)/(5x^3-9x-2)	$lim_{x \to 8} \frac{7 x^{4} - 6 x - 5}{5 x^{3} - 9 x - 2}$
33534	Evaluate the Limit	limit as x approaches -8 of (7x^5+6x^4-31x)/(3x^4-31x^2+12)	$lim_{x \to - 8} \frac{7 x^{5} + 6 x^{4} - 31 x}{3 x^{4} - 31 x^{2} + 12}$
33535	Evaluate the Limit	limit as x approaches 8 of 7/(e^x-6)	$lim_{x \to 8} \frac{7}{e^{x} - 6}$
33536	Evaluate the Limit	limit as x approaches -8 of 7/(x^2)	$lim_{x \to - 8} \frac{7}{x^{2}}$
33537	Evaluate the Limit	limit as x approaches 8 of 7/x-x/7	$lim_{x \to 8} \frac{7}{x} - \frac{x}{7}$
33538	Evaluate the Limit	limit as x approaches 8 of 7/(x-8)	$lim_{x \to 8} \frac{7}{x - 8}$
33539	Evaluate the Limit	limit as x approaches 8 of 7^x	$lim_{x \to 8} 7^{x}$
33540	Evaluate the Limit	limit as x approaches -8 of (-7+3/x)/(7-4/(x^2))	$lim_{x \to - 8} \frac{- 7 + \frac{3}{x}}{7 - \frac{4}{x^{2}}}$
33541	Evaluate the Limit	limit as x approaches 8 of (-71x^4)/(30x^4)	$lim_{x \to 8} \frac{- 71 x^{4}}{30 x^{4}}$
33542	Evaluate the Limit	limit as x approaches 8 of (7x^2-4x+3)/(x^3+7)	$lim_{x \to 8} \frac{7 x^{2} - 4 x + 3}{x^{3} + 7}$
33543	Evaluate the Limit	limit as x approaches -8 of (7x^2-9)/(4x+3)	$lim_{x \to - 8} \frac{7 x^{2} - 9}{4 x + 3}$
33544	Evaluate the Limit	limit as x approaches 8 of 50/(1+3e^(-x))	$lim_{x \to 8} \frac{50}{1 + 3 e^{- x}}$
33545	Evaluate the Limit	limit as x approaches 8 of 500/x+52	$lim_{x \to 8} \frac{500}{x} + 52$
33546	Evaluate the Limit	limit as x approaches -8 of (5-2t^3)/(t^2+1)	$lim_{x \to - 8} \frac{5 - 2 t^{3}}{t^{2} + 1}$
33547	Evaluate the Limit	limit as x approaches 8 of ( natural log of x)/(8x)	$lim_{x \to 8} \frac{\ln (x)}{8 x}$
33548	Find dy/dx	y = fourth root of 9x	$y = \sqrt[4]{9 x}$
33549	Evaluate the Limit	limit as x approaches 8 of ( natural log of x)/(10 root of x)	$lim_{x \to 8} \frac{\ln (x)}{\sqrt[10]{x}}$
33550	Evaluate the Limit	limit as x approaches 8 of ( natural log of x)/( fifth root of x)	$lim_{x \to 8} \frac{\ln (x)}{\sqrt[5]{x}}$
33551	Evaluate the Limit	limit as x approaches 8 of ( natural log of 5x+7)/( natural log of 6x+10+1)	$lim_{x \to 8} \frac{\ln (5 x + 7)}{\ln (6 x + 10) + 1}$
33552	Evaluate the Limit	limit as x approaches 8 of ( natural log of 6x)/(12x^(1/2))	$lim_{x \to 8} \frac{\ln (6 x)}{12 x^{\frac{1}{2}}}$
33553	Evaluate the Limit	limit as x approaches 8 of ( natural log of 9)/( natural log of 2)	$lim_{x \to 8} \frac{\ln (9)}{\ln (2)}$
33554	Evaluate the Limit	limit as x approaches 8 of ( natural log of 9x)/(20x^(1/2))	$lim_{x \to 8} \frac{\ln (9 x)}{20 x^{\frac{1}{2}}}$
33555	Evaluate the Limit	limit as x approaches 8 of ( natural log of 2x+9)/( natural log of 3x+7+4)	$lim_{x \to 8} \frac{\ln (2 x + 9)}{\ln (3 x + 7) + 4}$
33556	Evaluate the Limit	limit as x approaches 8 of ( natural log of 3x)/(10x^(1/2))	$lim_{x \to 8} \frac{\ln (3 x)}{10 x^{\frac{1}{2}}}$
33557	Evaluate the Limit	limit as x approaches 8 of ( natural log of 3x+7)/( natural log of 4x+8+6)	$lim_{x \to 8} \frac{\ln (3 x + 7)}{\ln (4 x + 8) + 6}$
33558	Find dy/dx	y = sixth root of natural log of x	$y = \sqrt[6]{\ln (x)}$
33559	Evaluate the Limit	limit as x approaches 8 of e^(cos(x))	$lim_{x \to 8} e^{\cos (x)}$
33560	Find dy/dx	y = square root of e^x+10	$y = \sqrt{e^{x} + 10}$
33561	Find dy/dx	x+xy-2x^3=2	$x + x y - 2 x^{3} = 2$
33562	Find dy/dx	y(x^2+100)=200	$y (x^{2} + 100) = 200$
33563	Evaluate the Limit	limit as x approaches 8 of (ex)/(x^4+1)	$lim_{x \to 8} \frac{e x}{x^{4} + 1}$
33564	Evaluate the Limit	limit as x approaches 8 of f(x)*(6x^2)-2x+16	$lim_{x \to 8} f (x) \cdot (6 x^{2}) - 2 x + 16$
33565	Evaluate the Limit	limit as x approaches 8 of ( natural log of 4^t+5^t)/(3/(1/n))	$lim_{x \to 8} \frac{\ln (4^{t} + 5^{t})}{\frac{3}{\frac{1}{n}}}$
33566	Evaluate the Limit	limit as x approaches 8 of ( natural log of x^2+1)/(2+3 natural log of x)	$lim_{x \to 8} \frac{\ln (x^{2} + 1)}{2 + 3 \ln (x)}$
33567	Evaluate the Limit	limit as x approaches 8 of ( natural log of x^5)/x	$lim_{x \to 8} \frac{\ln (x^{5})}{x}$
33568	Evaluate the Limit	limit as x approaches 8 of ( natural log of x^9)/x	$lim_{x \to 8} \frac{\ln (x^{9})}{x}$
33569	Evaluate the Limit	limit as x approaches 8 of ( natural log of 2x)/(x^2)	$lim_{x \to 8} \frac{\ln (2 x)}{x^{2}}$
33570	Evaluate the Limit	limit as x approaches 8 of e^(5-x^5)	$lim_{x \to 8} e^{5 - x^{5}}$
33571	Evaluate the Limit	limit as x approaches 8 of e^(-6x)	$lim_{x \to 8} e^{- 6 x}$
33572	Evaluate the Limit	limit as x approaches 8 of e^(-3x)*cos(x)	$lim_{x \to 8} e^{- 3 x} \cdot \cos (x)$
33573	Evaluate the Limit	limit as x approaches 8 of e^(-3x)*sin(3x)	$lim_{x \to 8} e^{- 3 x} \cdot \sin (3 x)$
33574	Evaluate the Limit	limit as x approaches 8 of e^(-3x)cos(6x)	$lim_{x \to 8} e^{- 3 x} \cos (6 x)$
33575	Evaluate the Limit	limit as x approaches 8 of e^(-0.3x)x^12	$lim_{x \to 8} e^{- 0.3 x} x^{12}$
33576	Evaluate the Limit	limit as x approaches 8 of -e^(-25x)	$lim_{x \to 8} - e^{- 25 x}$
33577	Evaluate the Limit	limit as x approaches -8 of e^(2x)-e^x-2	$lim_{x \to - 8} e^{2 x} - e^{x} - 2$
33578	Find dy/dx	y=(3/(x-2))^3	$y = {(\frac{3}{x - 2})}^{3}$
33579	Evaluate the Limit	limit as x approaches 8 of (8-x)/(x^(2-64))	$lim_{x \to 8} \frac{8 - x}{x^{2 - 64}}$
33580	Evaluate the Limit	limit as x approaches 8 of (8x)/(16x+3)	$lim_{x \to 8} \frac{8 x}{16 x + 3}$
33581	Evaluate the Limit	limit as x approaches 8 of (8x)/(2x)	$lim_{x \to 8} \frac{8 x}{2 x}$
33582	Evaluate the Limit	limit as x approaches -8 of (8x)/(32x+7)	$lim_{x \to - 8} \frac{8 x}{32 x + 7}$
33583	Evaluate the Limit	limit as x approaches 8 of (8x)/(6x-1)	$lim_{x \to 8} \frac{8 x}{6 x - 1}$
33584	Evaluate the Limit	limit as x approaches 8 of (-8x)/(7+2x)	$lim_{x \to 8} \frac{- 8 x}{7 + 2 x}$
33585	Evaluate the Limit	limit as x approaches 8 of (8x)/(9x-9)	$lim_{x \to 8} \frac{8 x}{9 x - 9}$
33586	Evaluate the Limit	limit as x approaches 8 of (8x+7)/(7x+7)	$lim_{x \to 8} \frac{8 x + 7}{7 x + 7}$
33587	Evaluate the Limit	limit as x approaches 8 of (8x-2)/(5x+7)	$lim_{x \to 8} \frac{8 x - 2}{5 x + 7}$
33588	Evaluate the Limit	limit as x approaches 8 of (8x-2)/(7x+7)	$lim_{x \to 8} \frac{8 x - 2}{7 x + 7}$
33589	Evaluate the Limit	limit as x approaches 8 of (8x-5)/(5x+8)	$lim_{x \to 8} \frac{8 x - 5}{5 x + 8}$
33590	Evaluate the Limit	limit as x approaches -8 of (8x-7)/(9x^3+6x+5)	$lim_{x \to - 8} \frac{8 x - 7}{9 x^{3} + 6 x + 5}$
33591	Evaluate the Limit	limit as x approaches 8 of (8x-cos(x))/x	$lim_{x \to 8} \frac{8 x - \cos (x)}{x}$
33592	Evaluate the Limit	limit as x approaches -8 of (9x^2+10x-1)/(8x^2-5x)	$lim_{x \to - 8} \frac{9 x^{2} + 10 x - 1}{8 x^{2} - 5 x}$
33593	Evaluate the Limit	limit as x approaches -8 of e^((5e^(3x)-4e^(-3x))/(3e^(3x)+8e^(-3x)))	$lim_{x \to - 8} e^{\frac{5 e^{3 x} - 4 e^{- 3 x}}{3 e^{3 x} + 8 e^{- 3 x}}}$
33594	Evaluate the Limit	limit as x approaches 8 of e^(7/x)	$lim_{x \to 8} e^{\frac{7}{x}}$
33595	Evaluate the Limit	limit as x approaches 8 of e^(9/x)-1	$lim_{x \to 8} e^{\frac{9}{x}} - 1$
33596	Evaluate the Limit	limit as x approaches 8 of (cos(x)+5)/(cos(x))	$lim_{x \to 8} \frac{\cos (x) + 5}{\cos (x)}$
33597	Evaluate the Limit	limit as x approaches -8 of e^(-(x/10))	$lim_{x \to - 8} e^{- (\frac{x}{10})}$
33598	Evaluate the Limit	limit as x approaches 8 of e^(-0.8x)(1+5x^6)	$lim_{x \to 8} e^{- 0.8 x} (1 + 5 x^{6})$
33599	Evaluate the Limit	limit as x approaches 9 of x+10	$lim_{x \to 9} x + 10$
33600	Evaluate the Limit	limit as x approaches 9 of x+9	$lim_{x \to 9} x + 9$