Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
30501	Evaluate the Limit	limit as x approaches 0 from the left of x+6	$lim_{x \to 0} x + 6$
30502	Evaluate the Limit	limit as x approaches 0 of x-5	$lim_{x \to 0} x - 5$
30503	Evaluate the Limit	limit as x approaches 0 of xcos(1/(x^2))	$lim_{x \to 0} x \cos (\frac{1}{x^{2}})$
30504	Find the Critical Points	h(x)=sin(x)^2+cos(x)	$h (x) = \sin^{2} (x) + \cos (x)$
30505	Find the Critical Points	y=x^(4/5)(x-4)	$y = x^{\frac{4}{5}} (x - 4)$
30506	Evaluate the Limit	limit as x approaches 0 of xcos(15/x)	$lim_{x \to 0} x \cos (\frac{15}{x})$
30507	Evaluate the Limit	limit as x approaches 0 of xcsc((xcsc(12x))/(cos(2x)))	$lim_{x \to 0} x \csc (\frac{x \csc (12 x)}{\cos (2 x)})$
30508	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+6x^2-18x	$f (x) = 2 x^{3} + 6 x^{2} - 18 x$
30509	Evaluate the Limit	( limit as x approaches 0 of (sin(x))(cos(4x)))/(x+xcos(5x))	$\frac{lim_{x \to 0} (\sin (x)) (\cos (4 x))}{x + x \cos (5 x)}$
30510	Evaluate the Limit	limit as x approaches 0 of (sin(x)) natural log of x	$lim_{x \to 0} (\sin (x)) \ln (x)$
30511	Evaluate the Limit	limit as x approaches 0 of sin(x-cos(x))	$lim_{x \to 0} \sin (x - \cos (x))$
30512	Evaluate the Limit	limit as x approaches 0 of (tan(2x))csc(4x)	$lim_{x \to 0} (\tan (2 x)) \csc (4 x)$
30513	Evaluate the Limit	limit as x approaches 0 of tan(3pi-(pisin(x))/x)	$lim_{x \to 0} \tan (3 π - \frac{π \sin (x)}{x})$
30514	Evaluate the Limit	limit as x approaches 0 of tan(x+pi/4)-1*1/( square root of 3-2cos(x+pi/6))	$lim_{x \to 0} \tan (x + \frac{π}{4}) - 1 \cdot \frac{1}{\sqrt{3} - 2 \cos (x + \frac{π}{6})}$
30515	Evaluate the Limit	limit as x approaches 0 of xcxcx	$lim_{x \to 0} x c x c x$
30516	Evaluate the Limit	limit as x approaches 0 of x(x^x)	$lim_{x \to 0} x (x^{x})$
30517	Evaluate the Limit	limit as x approaches 0 of x(3+7/x)	$lim_{x \to 0} x (3 + \frac{7}{x})$
30518	Evaluate the Limit	limit as x approaches 0 of x*cot(3x)	$lim_{x \to 0} x \cdot \cot (3 x)$
30519	Evaluate the Limit	limit as x approaches 0 of x* natural log of sin(x)	$lim_{x \to 0} x \cdot \ln (\sin (x))$
30520	Evaluate the Limit	( limit as x approaches 0 of (1)(( square root of 16+x)-4))/x	$\frac{lim_{x \to 0} (1) ((\sqrt{16 + x}) - 4)}{x}$
30521	Evaluate the Limit	( limit as x approaches 0 of (1)( square root of y^2+x^2-x))/( square root of z^2+x^2-z)	$\frac{lim_{x \to 0} (1) (\sqrt{y^{2} + x^{2}} - x)}{\sqrt{z^{2} + x^{2} - z}}$
30522	Evaluate the Limit	( limit as x approaches 0 of (1)(xsin(x)))/(1-cos(x))	$\frac{lim_{x \to 0} (1) (x \sin (x))}{1 - \cos (x)}$
30523	Evaluate the Limit	limit as x approaches 0 of (1)sin(1/x)	$lim_{x \to 0} (1) \sin (\frac{1}{x})$
30524	Evaluate the Limit	limit as x approaches 0 of (1(5x-sin(5x)))/(5x-tan(5x))	$lim_{x \to 0} \frac{1 (5 x - \sin (5 x))}{5 x - \tan (5 x)}$
30525	Evaluate the Limit	limit as x approaches 0 of 1-e^x	$lim_{x \to 0} 1 - e^{x}$
30526	Evaluate the Limit	limit as x approaches 0 of 1x^2	$lim_{x \to 0} 1 x^{2}$
30527	Evaluate the Limit	limit as x approaches 0 of 10x-1.86x^2	$lim_{x \to 0} 10 x - 1.86 x^{2}$
30528	Evaluate the Limit	limit as x approaches 0 of 12x^2	$lim_{x \to 0} 12 x^{2}$
30529	Evaluate the Limit	limit as x approaches 0 of 2-(1/(x^3))	$lim_{x \to 0} 2 - (\frac{1}{x^{3}})$
30530	Evaluate the Limit	limit as x approaches 0 of (2( square root of x+c))/c-(2( square root of x))/c	$lim_{x \to 0} \frac{2 (\sqrt{x + c})}{c} - \frac{2 (\sqrt{x})}{c}$
30531	Evaluate the Limit	limit as x approaches 0 of (2(sin(x)))/x	$lim_{x \to 0} \frac{2 (\sin (x))}{x}$
30532	Evaluate the Limit	limit as x approaches 0 of (2x^2)+3x	$lim_{x \to 0} (2 x^{2}) + 3 x$
30533	Evaluate the Limit	limit as x approaches 0 of 2xe^(-6x)	$lim_{x \to 0} 2 x e^{- 6 x}$
30534	Evaluate the Limit	limit as x approaches 0 of 2-(2(cos(x)))/x	$lim_{x \to 0} 2 - \frac{2 (\cos (x))}{x}$
30535	Evaluate the Limit	limit as x approaches 0 of 2x+5	$lim_{x \to 0} 2 x + 5$
30536	Evaluate the Limit	limit as x approaches 0 of 2x-3	$lim_{x \to 0} 2 x - 3$
30537	Evaluate the Limit	limit as x approaches 0 of 2xcot(x)	$lim_{x \to 0} 2 x \cot (x)$
30538	Find the Derivative - d/dx	y=( natural log of 9x)/(3x)	$y = \frac{\ln (9 x)}{3 x}$
30539	Evaluate the Limit	limit as x approaches 0 of 3e^(3x)	$lim_{x \to 0} 3 e^{3 x}$
30540	Evaluate the Limit	limit as x approaches 0 of 3x-2	$lim_{x \to 0} 3 x - 2$
30541	Evaluate the Limit	limit as x approaches 0 of 6+12	$lim_{x \to 0} 6 + 12$
30542	Evaluate the Limit	limit as x approaches 0 of 6sin(x-1)	$lim_{x \to 0} 6 \sin (x - 1)$
30543	Evaluate the Limit	limit as x approaches 0 of 8x natural log of sin(3x)	$lim_{x \to 0} 8 x \ln (\sin (3 x))$
30544	Evaluate the Limit	limit as x approaches 0 of arccot(x)	$lim_{x \to 0} arccot (x)$
30545	Evaluate the Limit	limit as x approaches 0 of arcsin(5x)	$lim_{x \to 0} \arcsin (5 x)$
30546	Evaluate the Limit	limit as x approaches 0 of arctan(1/(x^2))	$lim_{x \to 0} \arctan (\frac{1}{x^{2}})$
30547	Evaluate the Limit	limit as x approaches 0 of arctan(1/x)	$lim_{x \to 0} \arctan (\frac{1}{x})$
30548	Evaluate the Limit	limit as x approaches 0 of (as)cos(0+sin(0))	$lim_{x \to 0} (a s) \cos (0 + \sin (0))$
30549	Evaluate the Limit	limit as x approaches 0 of arcsin(n)(nx)	$lim_{x \to 0} \arcsin (n) (n x)$
30550	Evaluate the Limit	limit as x approaches 0 of (5)*4	$lim_{x \to 0} (5) \cdot 4$
30551	Evaluate the Limit	limit as x approaches 0 of 5p^2	$lim_{x \to 0} 5 p^{2}$
30552	Evaluate the Limit	limit as x approaches 0 of (5 square root of x) natural log of x	$lim_{x \to 0} (5 \sqrt{x}) \ln (x)$
30553	Evaluate the Limit	limit as x approaches 0 of 5x^(7x)	$lim_{x \to 0} 5 x^{7 x}$
30554	Evaluate the Limit	limit as x approaches 0 of 55	$lim_{x \to 0} 55$
30555	Evaluate the Limit	limit as x approaches 0 of 5pi(3cos(x)+2pitan((5pi)/(4sec(x)))-3)	$lim_{x \to 0} 5 π (3 \cos (x) + 2 π \tan (\frac{5 π}{4 \sec (x)}) - 3)$
30556	Evaluate the Limit	limit as x approaches 0 of 5sin(x) natural log of x	$lim_{x \to 0} 5 \sin (x) \ln (x)$
30557	Evaluate the Limit	limit as x approaches 0 of 5x-3	$lim_{x \to 0} 5 x - 3$
30558	Evaluate the Limit	limit as x approaches 0 of (6(sin(x)^2))/(1-cos(x))	$lim_{x \to 0} \frac{6 (\sin^{2} (x))}{1 - \cos (x)}$
30559	Evaluate the Limit	limit as x approaches 0 of csc(x)cot(x)	$lim_{x \to 0} \csc (x) \cot (x)$
30560	Evaluate the Limit	limit as x approaches 0 of f(g(x))	$lim_{x \to 0} f (g (x))$
30561	Evaluate the Limit	limit as x approaches 0 of x^(x^0.5)	$lim_{x \to 0} x^{x^{0.5}}$
30562	Evaluate the Limit	limit as x approaches 0 of 4x^3	$lim_{x \to 0} 4 x^{3}$
30563	Evaluate the Limit	limit as x approaches 0 of 4x^3-8x+2	$lim_{x \to 0} 4 x^{3} - 8 x + 2$
30564	Evaluate the Limit	limit as x approaches 0 of 4x natural log of sin(x)	$lim_{x \to 0} 4 x \ln (\sin (x))$
30565	Evaluate the Limit	limit as x approaches 0 of 5(t-4)(t-4)	$lim_{x \to 0} 5 (t - 4) (t - 4)$
30566	Find the Derivative - d/dx	natural log of natural log of 13x	$\ln (\ln (13 x))$
30567	Evaluate the Limit	limit as x approaches 0 of cot(2x)	$lim_{x \to 0} \cot (2 x)$
30568	Evaluate the Limit	limit as x approaches 0 of cot(5x)	$lim_{x \to 0} \cot (5 x)$
30569	Evaluate the Limit	limit as x approaches 0 of cot( natural log of x)	$lim_{x \to 0} \cot (\ln (x))$
30570	Find the Asymptotes	f(x)=(x+5)/(x^3-12x^2+35x)	$f (x) = \frac{x + 5}{x^{3} - 12 x^{2} + 35 x}$
30571	Evaluate the Limit	limit as x approaches 0 of (sin(x))/(7x^2+x)	$lim_{x \to 0} \frac{\sin (x)}{7 x^{2} + x}$
30572	Evaluate the Limit	limit as x approaches 0 of (sin(x))/(pix)	$lim_{x \to 0} \frac{\sin (x)}{π x}$
30573	Evaluate the Limit	limit as x approaches 0 of (tan(7x))/(8x)	$lim_{x \to 0} \frac{\tan (7 x)}{8 x}$
30574	Find dy/dx	x^3+y^3=19	$x^{3} + y^{3} = 19$
30575	Evaluate the Limit	limit as x approaches 0 of (tan(8x))/(2x)	$lim_{x \to 0} \frac{\tan (8 x)}{2 x}$
30576	Evaluate the Limit	limit as x approaches 0 of (tan(9x))/(tan(10x))	$lim_{x \to 0} \frac{\tan (9 x)}{\tan (10 x)}$
30577	Evaluate the Limit	limit as x approaches 0 from the left of (tan(x))/(x^2)	$lim_{x \to 0} \frac{\tan (x)}{x^{2}}$
30578	Evaluate the Limit	limit as x approaches 0 of arctan(e^0)	$lim_{x \to 0} \arctan (e^{0})$
30579	Evaluate the Limit	limit as x approaches 0 of arctan( natural log of x)	$lim_{x \to 0} \arctan (\ln (x))$
30580	Evaluate the Limit	limit as x approaches 0 of square root of (3^x)/( log of x+10)	$lim_{x \to 0} \sqrt{\frac{3^{x}}{\log (x + 10)}}$
30581	Evaluate the Limit	limit as x approaches 0 of square root of (sin(4x))/(sin(x))	$lim_{x \to 0} \sqrt{\frac{\sin (4 x)}{\sin (x)}}$
30582	Evaluate the Limit	limit as x approaches 0 of square root of x^2-x^3(1-sin((2pi)/x)^2)	$lim_{x \to 0} \sqrt{x^{2} - x^{3}} (1 - \sin^{2} (\frac{2 π}{x}))$
30583	Evaluate the Limit	limit as x approaches 0 of square root of x^2+9/x	$lim_{x \to 0} \sqrt{x^{2} + \frac{9}{x}}$
30584	Evaluate the Limit	limit as x approaches 0 of ( square root of x^3+x^2)sin(pi/x)	$lim_{x \to 0} (\sqrt{x^{3} + x^{2}}) \sin (\frac{π}{x})$
30585	Evaluate the Limit	limit as x approaches 0 of square root of 0 natural log of 0	$lim_{x \to 0} \sqrt{0} \ln (0)$
30586	Evaluate the Limit	limit as x approaches 0 of square root of 16-7x	$lim_{x \to 0} \sqrt{16 - 7 x}$
30587	Evaluate the Limit	limit as x approaches 0 of square root of 7+se^2(x)	$lim_{x \to 0} \sqrt{7 + s e^{2} (x)}$
30588	Evaluate	natural log of cube root of e^4	$\ln (\sqrt[3]{e^{4}})$
30589	Evaluate the Limit	limit as x approaches 0 of ( square root of x)(1+sin(2pix^-1)^2)	$lim_{x \to 0} (\sqrt{x}) (1 + \sin^{2} (2 π x^{- 1}))$
30590	Evaluate the Limit	limit as x approaches 0 of ( square root of x)sin(1/(x^2))^3+4	$lim_{x \to 0} (\sqrt{x}) \sin^{3} (\frac{1}{x^{2}}) + 4$
30591	Evaluate the Limit	limit as x approaches 0 of arcsin((sin(x))/(2x))	$lim_{x \to 0} \arcsin (\frac{\sin (x)}{2 x})$
30592	Find the Antiderivative	1/(x^2+1)	$\frac{1}{x^{2} + 1}$
30593	Evaluate the Limit	limit as x approaches 0 of (sin(h(1-cos(h))))/(h^2)	$lim_{x \to 0} \frac{\sinh (1 - \cos (h))}{h^{2}}$
30594	Evaluate the Limit	limit as x approaches 0 of (tan(-0.1))/(tan(5(-0.1)))	$lim_{x \to 0} \frac{\tan (- 0.1)}{\tan (5 (- 0.1))}$
30595	Evaluate the Limit	limit as x approaches 0 of (tan(10t))/(sin(2t))	$lim_{x \to 0} \frac{\tan (10 t)}{\sin (2 t)}$
30596	Evaluate the Limit	limit as x approaches 0 of (tan(2x))/(1/(csc(4x)))	$lim_{x \to 0} \frac{\tan (2 x)}{\frac{1}{\csc (4 x)}}$
30597	Evaluate the Limit	limit as x approaches 0 of (tan(2x))/(sin(6x))	$lim_{x \to 0} \frac{\tan (2 x)}{\sin (6 x)}$
30598	Evaluate the Limit	limit as b approaches 0 of (tan(2b))/(tan(b))	$lim_{b \to 0} \frac{\tan (2 b)}{\tan (b)}$
30599	Evaluate the Limit	limit as x approaches 0 of (tan(3x))/(7x)	$lim_{x \to 0} \frac{\tan (3 x)}{7 x}$
30600	Evaluate the Limit	limit as x approaches 0 of (tan(3x))/(sin(6x))	$lim_{x \to 0} \frac{\tan (3 x)}{\sin (6 x)}$