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Popular Calculus Problems
limit as x approaches infinity of x/(20)
\lim\:_{x\to\:\infty\:}(\frac{x}{20})
limit as x approaches 1 of [ 2/(1+x^2)]
\lim\:_{x\to\:1}([\frac{2}{1+x^{2}}])
limit as x approaches 3 of 9/((x-3)^5)
\lim\:_{x\to\:3}(\frac{9}{(x-3)^{5}})
limit as x approaches 0+of 4x^2ln(x)
\lim\:_{x\to\:0+}(4x^{2}\ln(x))
limit as x approaches 0+of sqrt(x)cos^2(1/x)
\lim\:_{x\to\:0+}(\sqrt{x}\cos^{2}(\frac{1}{x}))
limit as x approaches-infinity of 10^x+2
\lim\:_{x\to\:-\infty\:}(10^{x}+2)
limit as x approaches infinity of 5+8/x
\lim\:_{x\to\:\infty\:}(5+\frac{8}{x})
limit as x approaches 7-of (5-x)/(x-7)
\lim\:_{x\to\:7-}(\frac{5-x}{x-7})
limit as x approaches 3 of x^2+5x-7
\lim\:_{x\to\:3}(x^{2}+5x-7)
limit as x approaches 1-of e^x-e
\lim\:_{x\to\:1-}(e^{x}-e)
limit as x approaches-6 of x^2+9x
\lim\:_{x\to\:-6}(x^{2}+9x)
limit as x approaches-1 of (x^6-1)/(x+1)
\lim\:_{x\to\:-1}(\frac{x^{6}-1}{x+1})
limit as x approaches 0 of xcot(4x)
\lim\:_{x\to\:0}(x\cot(4x))
limit as x approaches infinity of 6x+3
\lim\:_{x\to\:\infty\:}(6x+3)
limit as x approaches 1 of 3x-8
\lim\:_{x\to\:1}(3x-8)
limit as x approaches 2a of 2a-3x
\lim\:_{x\to\:2a}(2a-3x)
limit as x approaches 1-of (x-1)/(x-1)
\lim\:_{x\to\:1-}(\frac{x-1}{x-1})
limit as x approaches 8 of 96
\lim\:_{x\to\:8}(96)
limit as x approaches 2 of 2x^2+3*x^2-5
\lim\:_{x\to\:2}(2x^{2}+3\cdot\:x^{2}-5)
limit as x approaches 0 of (pi/x}{cot(\frac{pix)/2)}
\lim\:_{x\to\:0}(\frac{\frac{π}{x}}{\cot(\frac{πx}{2})})
limit as x approaches 5-of (x-2)/(x-5)
\lim\:_{x\to\:5-}(\frac{x-2}{x-5})
limit as x approaches 4 of (-2x+3)/(x-4)
\lim\:_{x\to\:4}(\frac{-2x+3}{x-4})
limit as x approaches 0 of 0.5^x
\lim\:_{x\to\:0}(0.5^{x})
limit as θ approaches 0 of θ^2cos(1/θ)
\lim\:_{θ\to\:0}(θ^{2}\cos(\frac{1}{θ}))
limit as x approaches 2 of (2f(x)-12)/3
\lim\:_{x\to\:2}(\frac{2f(x)-12}{3})
limit as x approaches 3 of 3x^2-2x-1
\lim\:_{x\to\:3}(3x^{2}-2x-1)
limit as a approaches 0 of (a-1)^a
\lim\:_{a\to\:0}((a-1)^{a})
limit as x approaches-3 of (x^3+5x^2-3x-9)/(x^3+7x^2+15x+9)
\lim\:_{x\to\:-3}(\frac{x^{3}+5x^{2}-3x-9}{x^{3}+7x^{2}+15x+9})
limit as x approaches 3 of 3/(2x-6)
\lim\:_{x\to\:3}(\frac{3}{2x-6})
limit as x approaches 0 of (3^x)/x
\lim\:_{x\to\:0}(\frac{3^{x}}{x})
limit as x approaches 1 of-3x^4+2x+1
\lim\:_{x\to\:1}(-3x^{4}+2x+1)
limit as x approaches 2 of (x+2)^2
\lim\:_{x\to\:2}((x+2)^{2})
limit as x approaches 0 of 5x^2ln(x)
\lim\:_{x\to\:0}(5x^{2}\ln(x))
limit as x approaches 0-of ln(2x^2+e)
\lim\:_{x\to\:0-}(\ln(2x^{2}+e))
limit as x approaches infinity of 10^x+2
\lim\:_{x\to\:\infty\:}(10^{x}+2)
limit as x approaches 2 of (2x-4)/(sqrt(x^2-4))
\lim\:_{x\to\:2}(\frac{2x-4}{\sqrt{x^{2}-4}})
limit as x approaches 3 of sqrt(2x-5)
\lim\:_{x\to\:3}(\sqrt{2x-5})
limit as x approaches pi/6 of cot(4x)
\lim\:_{x\to\:\frac{π}{6}}(\cot(4x))
limit as x approaches 0 of (x^2-x)/(2x)
\lim\:_{x\to\:0}(\frac{x^{2}-x}{2x})
limit as x approaches 3 of 1/(x^2+16)
\lim\:_{x\to\:3}(\frac{1}{x^{2}+16})
limit as x approaches 1 of ln(x)*ln(x-1)
\lim\:_{x\to\:1}(\ln(x)\cdot\:\ln(x-1))
limit as x approaches 0 of (x+7)^2sin(x)
\lim\:_{x\to\:0}((x+7)^{2}\sin(x))
limit as x approaches 4pi of cos(x)
\lim\:_{x\to\:4π}(\cos(x))
limit as x approaches 5 of 4/(x-7)
\lim\:_{x\to\:5}(\frac{4}{x-7})
limit as x approaches 4 of 6/(x-1)
\lim\:_{x\to\:4}(\frac{6}{x-1})
limit as x approaches infinity of 2/x+pi
\lim\:_{x\to\:\infty\:}(\frac{2}{x}+π)
limit as x approaches 0 of (ln(x))sin(x)
\lim\:_{x\to\:0}((\ln(x))\sin(x))
limit as x approaches 0 of (1-x^2)/(x^2)
\lim\:_{x\to\:0}(\frac{1-x^{2}}{x^{2}})
limit as x approaches 2 of x^3+3x+15
\lim\:_{x\to\:2}(x^{3}+3x+15)
limit as x approaches 0 of e^{3x}+3x
\lim\:_{x\to\:0}(e^{3x}+3x)
limit as x approaches-2 of (2-|x|)/(x+2)
\lim\:_{x\to\:-2}(\frac{2-\left|x\right|}{x+2})
limit as x approaches 0 of (ln(x-1))/x
\lim\:_{x\to\:0}(\frac{\ln(x-1)}{x})
limit as x approaches 0 of cot(x)sin(x)
\lim\:_{x\to\:0}(\cot(x)\sin(x))
limit as x approaches-12 of sqrt(x+12)
\lim\:_{x\to\:-12}(\sqrt{x+12})
limit as x approaches 3 of 2x^2+3
\lim\:_{x\to\:3}(2x^{2}+3)
limit as t approaches 50 of (100)/(50-t)
\lim\:_{t\to\:50}(\frac{100}{50-t})
limit as x approaches 0 of (x+2)/(x+3)
\lim\:_{x\to\:0}(\frac{x+2}{x+3})
limit as x approaches 7-of (1-8x)/(x-7)
\lim\:_{x\to\:7-}(\frac{1-8x}{x-7})
limit as x approaches 0 of 2|x-2|+1
\lim\:_{x\to\:0}(2\left|x-2\right|+1)
limit as x approaches-3 of (3x)/(x^3-27)
\lim\:_{x\to\:-3}(\frac{3x}{x^{3}-27})
limit as x approaches 3 of sqrt(xcsc(x))
\lim\:_{x\to\:3}(\sqrt{x\csc(x)})
limit as x approaches abc of ax^2+bx+c
\lim\:_{x\to\:abc}(ax^{2}+bx+c)
limit as t approaches 1/3 of 2t+7
\lim\:_{t\to\:\frac{1}{3}}(2t+7)
limit as x approaches-3 of x^2-x-12
\lim\:_{x\to\:-3}(x^{2}-x-12)
limit as x approaches 0 of 2xln(1/x)
\lim\:_{x\to\:0}(2x\ln(\frac{1}{x}))
limit as x approaches 0 of 1/(1-2x)
\lim\:_{x\to\:0}(\frac{1}{1-2x})
limit as x approaches-7+of (2x+1)/(x+7)
\lim\:_{x\to\:-7+}(\frac{2x+1}{x+7})
limit as x approaches 0 of (x^2-x)/(x^2)
\lim\:_{x\to\:0}(\frac{x^{2}-x}{x^{2}})
limit as x approaches pi/4 of (4x)/(tan(x))
\lim\:_{x\to\:\frac{π}{4}}(\frac{4x}{\tan(x)})
limit as x approaches-1 of 2x^3-3/(x-1)
\lim\:_{x\to\:-1}(2x^{3}-\frac{3}{x-1})
limit as x approaches 0-of 2(1/x-cot(x))
\lim\:_{x\to\:0-}(2(\frac{1}{x}-\cot(x)))
limit as x approaches infinity of (-1)x
\lim\:_{x\to\:\infty\:}((-1)x)
limit as k approaches infinity of x^k
\lim\:_{k\to\:\infty\:}(x^{k})
limit as x approaches-infinity of x^9e^x
\lim\:_{x\to\:-\infty\:}(x^{9}e^{x})
limit as x approaches 1 of (3x-1)/(2-3x)
\lim\:_{x\to\:1}(\frac{3x-1}{2-3x})
limit as x approaches 0 of (1+1x)^{1/x}
\lim\:_{x\to\:0}((1+1x)^{\frac{1}{x}})
limit as t approaches 0+of (sin(2t))/t
\lim\:_{t\to\:0+}(\frac{\sin(2t)}{t})
limit as x approaches 0 of xsin(1/(x+y))
\lim\:_{x\to\:0}(x\sin(\frac{1}{x+y}))
limit as x approaches 0 of 10^x+2
\lim\:_{x\to\:0}(10^{x}+2)
limit as x approaches-infinity of 4-5x
\lim\:_{x\to\:-\infty\:}(4-5x)
limit as x approaches infinity of 9+6/x
\lim\:_{x\to\:\infty\:}(9+\frac{6}{x})
limit as x approaches-1/5 of x^3+5x
\lim\:_{x\to\:-\frac{1}{5}}(x^{3}+5x)
limit as x approaches-2 of 2x-x^2
\lim\:_{x\to\:-2}(2x-x^{2})
limit as x approaches-2 of (x+2)/(3x-5)
\lim\:_{x\to\:-2}(\frac{x+2}{3x-5})
limit as x approaches-1 of 3x+5
\lim\:_{x\to\:-1}(3x+5)
limit as x approaches-2 of x^2+4x+5
\lim\:_{x\to\:-2}(x^{2}+4x+5)
limit as θ approaches pi/2 of tan(θ)
\lim\:_{θ\to\:\frac{π}{2}}(\tan(θ))
limit as x approaches 2 of (x+5)^2-8
\lim\:_{x\to\:2}((x+5)^{2}-8)
limit as x approaches 0 of (1-x)^{ln(x)}
\lim\:_{x\to\:0}((1-x)^{\ln(x)})
limit as x approaches 0.01 of (sin(x))/x
\lim\:_{x\to\:0.01}(\frac{\sin(x)}{x})
limit as x approaches 2 of x^3-x^2+x
\lim\:_{x\to\:2}(x^{3}-x^{2}+x)
limit as x approaches 2 of x^2-x-1
\lim\:_{x\to\:2}(x^{2}-x-1)
limit as x approaches 5 of (x-4)(x^2+8)
\lim\:_{x\to\:5}((x-4)(x^{2}+8))
limit as x approaches 5+of x
\lim\:_{x\to\:5+}(x)
limit as x approaches-2-of (x+3)/(x+2)
\lim\:_{x\to\:-2-}(\frac{x+3}{x+2})
limit as x approaches 3 of 4-2x
\lim\:_{x\to\:3}(4-2x)
limit as x approaches 0 of 10^{x+2}
\lim\:_{x\to\:0}(10^{x+2})
limit as x approaches-3 of x^3+27
\lim\:_{x\to\:-3}(x^{3}+27)
limit as x approaches 2 of (2x)/(4-x^2)
\lim\:_{x\to\:2}(\frac{2x}{4-x^{2}})
limit as x approaches 2 of (x/(x-2))^2
\lim\:_{x\to\:2}((\frac{x}{x-2})^{2})
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