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Popular Calculus Problems
limit as x approaches 0+of 1/x-1/(x^3-x)
\lim\:_{x\to\:0+}(\frac{1}{x}-\frac{1}{x^{3}-x})
limit as x approaches 2 of 4x^2-2x+1
\lim\:_{x\to\:2}(4x^{2}-2x+1)
limit as x approaches 1 of (3x)/(1-x)
\lim\:_{x\to\:1}(\frac{3x}{1-x})
limit as x approaches infinity of 2x+7
\lim\:_{x\to\:\infty\:}(2x+7)
limit as x approaches 4-of 1/(64-x^3)
\lim\:_{x\to\:4-}(\frac{1}{64-x^{3}})
limit as x approaches 0 of 8xln(x)
\lim\:_{x\to\:0}(8x\ln(x))
limit as n approaches 2 of 4
\lim\:_{n\to\:2}(4)
limit as x approaches 0-of 1/(|x|)-1/x
\lim\:_{x\to\:0-}(\frac{1}{\left|x\right|}-\frac{1}{x})
limit as x approaches 0 of sqrt(x+5)
\lim\:_{x\to\:0}(\sqrt{x+5})
limit as x approaches 2 of 1/(-x+2)
\lim\:_{x\to\:2}(\frac{1}{-x+2})
limit as x approaches pi/2+of 3tan(x)
\lim\:_{x\to\:\frac{π}{2}+}(3\tan(x))
limit as x approaches 0+of arctan(3/x)
\lim\:_{x\to\:0+}(\arctan(\frac{3}{x}))
limit as x approaches infinity of (-5n^5+27n^2-16n)/(cn^5+18n^2+8)
\lim\:_{x\to\:\infty\:}(\frac{-5n^{5}+27n^{2}-16n}{cn^{5}+18n^{2}+8})
limit as x approaches-3 of (x^3-2x^2-8x+21)/(2x^2+x-15)
\lim\:_{x\to\:-3}(\frac{x^{3}-2x^{2}-8x+21}{2x^{2}+x-15})
limit as x approaches 2 of (2)^x
\lim\:_{x\to\:2}((2)^{x})
limit as x approaches-4 of (|x+2|)/(x+2)
\lim\:_{x\to\:-4}(\frac{\left|x+2\right|}{x+2})
limit as x approaches 0 of 6(1/x-csc(x))
\lim\:_{x\to\:0}(6(\frac{1}{x}-\csc(x)))
limit as x approaches 0 of ((e^{2x}*e^{3x}-1-5x))/(x^2)
\lim\:_{x\to\:0}(\frac{(e^{2x}\cdot\:e^{3x}-1-5x)}{x^{2}})
limit as x approaches 2 of (2-|x|)/(2-x)
\lim\:_{x\to\:2}(\frac{2-\left|x\right|}{2-x})
limit as x approaches 0 of (g(x)-g(0))/x
\lim\:_{x\to\:0}(\frac{g(x)-g(0)}{x})
limit as x approaches 0 of x/(e^{-7/x)}
\lim\:_{x\to\:0}(\frac{x}{e^{-\frac{7}{x}}})
limit as x approaches 0 of (13^x-4^x)/x
\lim\:_{x\to\:0}(\frac{13^{x}-4^{x}}{x})
limit as x approaches 0 of 3-7x+6x^2
\lim\:_{x\to\:0}(3-7x+6x^{2})
limit as x approaches 1 of x/(x+1)(x-3)
\lim\:_{x\to\:1}(\frac{x}{x+1}(x-3))
limit as x approaches-1 of 2x-15
\lim\:_{x\to\:-1}(2x-15)
limit as x approaches infinity of 3\sqrt[3]{x-3}
\lim\:_{x\to\:\infty\:}(3\sqrt[3]{x-3})
limit as x approaches 4 of 1/x+x^{-1}
\lim\:_{x\to\:4}(\frac{1}{x}+x^{-1})
limit as x approaches 0 of ((1+x)*1)/x
\lim\:_{x\to\:0}(\frac{(1+x)\cdot\:1}{x})
limit as x approaches 0+of 1/0
\lim\:_{x\to\:0+}(\frac{1}{0})
limit as x approaches-infinity of-5*(x)
\lim\:_{x\to\:-\infty\:}(-5\cdot\:(x))
limit as x approaches 6 of x/3
\lim\:_{x\to\:6}(\frac{x}{3})
limit as x approaches 0 of ((1+x)^x-e)/x
\lim\:_{x\to\:0}(\frac{(1+x)^{x}-e}{x})
limit as x approaches-2.5 of sqrt(2x+6)
\lim\:_{x\to\:-2.5}(\sqrt{2x+6})
limit as x approaches 0 of (sqrt(x^2+a^2)+a)/(sqrt(x^2+b^2)+b)
\lim\:_{x\to\:0}(\frac{\sqrt{x^{2}+a^{2}}+a}{\sqrt{x^{2}+b^{2}}+b})
limit as x approaches 0-of (e^x-1-x)/x
\lim\:_{x\to\:0-}(\frac{e^{x}-1-x}{x})
limit as x approaches 5 of (x-5)/(x+1)
\lim\:_{x\to\:5}(\frac{x-5}{x+1})
limit as x approaches 0+of e^{(x-1)/x}
\lim\:_{x\to\:0+}(e^{\frac{x-1}{x}})
limit as x approaches 5 of x^2-6
\lim\:_{x\to\:5}(x^{2}-6)
limit as x approaches 0 of 1/(x(1+x^2))
\lim\:_{x\to\:0}(\frac{1}{x(1+x^{2})})
limit as x approaches 3 of 0.5^x
\lim\:_{x\to\:3}(0.5^{x})
limit as x approaches 8 of \sqrt[3]{8x}
\lim\:_{x\to\:8}(\sqrt[3]{8x})
limit as x approaches-3+of (-2x^2)/((x-1)(x+3))
\lim\:_{x\to\:-3+}(\frac{-2x^{2}}{(x-1)(x+3)})
limit as x approaches 0 of 2x^2*cot^2(x)
\lim\:_{x\to\:0}(2x^{2}\cdot\:\cot^{2}(x))
limit as x approaches pi/2 of sin(x)+1
\lim\:_{x\to\:\frac{π}{2}}(\sin(x)+1)
limit as x approaches 0 of x^2ln(3x)
\lim\:_{x\to\:0}(x^{2}\ln(3x))
limit as x approaches 1 of (|x-3|)/(x-3)
\lim\:_{x\to\:1}(\frac{\left|x-3\right|}{x-3})
limit as x approaches 0 of |sin(x)|-1/2
\lim\:_{x\to\:0}(\left|\sin(x)\right|-\frac{1}{2})
limit as x approaches 8 of 3/10
\lim\:_{x\to\:8}(\frac{3}{10})
limit as x approaches 0 of 3x*cot(3x)
\lim\:_{x\to\:0}(3x\cdot\:\cot(3x))
limit as x approaches 0+of (7x)^{2x}
\lim\:_{x\to\:0+}((7x)^{2x})
limit as x approaches 0 of sqrt(1-4x)
\lim\:_{x\to\:0}(\sqrt{1-4x})
limit as x approaches 0 of (x+2)/(x+5)
\lim\:_{x\to\:0}(\frac{x+2}{x+5})
limit as x approaches infinity of x^{60}
\lim\:_{x\to\:\infty\:}(x^{60})
limit as x approaches-5 of 23
\lim\:_{x\to\:-5}(23)
limit as x approaches 2 of x^3-x
\lim\:_{x\to\:2}(x^{3}-x)
limit as x approaches 0 of xsin(ln(x))
\lim\:_{x\to\:0}(x\sin(\ln(x)))
limit as x approaches 2 of x^3-3
\lim\:_{x\to\:2}(x^{3}-3)
limit as x approaches-8-of 1/((x+8)^2)
\lim\:_{x\to\:-8-}(\frac{1}{(x+8)^{2}})
limit as x approaches 0 of sin(x)tan(x)
\lim\:_{x\to\:0}(\sin(x)\tan(x))
limit as x approaches-5 of-4
\lim\:_{x\to\:-5}(-4)
limit as x approaches 0 of 1/(3xcsc(x))
\lim\:_{x\to\:0}(\frac{1}{3x\csc(x)})
limit as x approaches 0+of-1+ln(x)(x)
\lim\:_{x\to\:0+}(-1+\ln(x)(x))
limit as x approaches 0 of ((3x^2-x))/x
\lim\:_{x\to\:0}(\frac{(3x^{2}-x)}{x})
limit as x approaches-5 of (x+5)/x
\lim\:_{x\to\:-5}(\frac{x+5}{x})
limit as x approaches 3 of 0/0
\lim\:_{x\to\:3}(\frac{0}{0})
limit as x approaches 0 of x/(x^2-7x)
\lim\:_{x\to\:0}(\frac{x}{x^{2}-7x})
limit as x approaches-2 of x^2+2x+5
\lim\:_{x\to\:-2}(x^{2}+2x+5)
limit as x approaches 0 of 2+(sin(x))/x
\lim\:_{x\to\:0}(2+\frac{\sin(x)}{x})
limit as x approaches 0 of ((x-6))/(x^2)
\lim\:_{x\to\:0}(\frac{(x-6)}{x^{2}})
limit as n approaches infinity of 3+i^n
\lim\:_{n\to\:\infty\:}(3+i^{n})
limit as x approaches 1 of ln(1/(x-1))
\lim\:_{x\to\:1}(\ln(\frac{1}{x-1}))
limit as x approaches-1 of 3x^3-4x+8
\lim\:_{x\to\:-1}(3x^{3}-4x+8)
limit as x approaches 3 of (x-5)/(x^2-9)
\lim\:_{x\to\:3}(\frac{x-5}{x^{2}-9})
limit as x approaches 0+of 1/x sin(x/2)
\lim\:_{x\to\:0+}(\frac{1}{x}\sin(\frac{x}{2}))
limit as x approaches 2 of (2x-1)/(x-2)
\lim\:_{x\to\:2}(\frac{2x-1}{x-2})
limit as x approaches 0 of (-sin(5x))/x
\lim\:_{x\to\:0}(\frac{-\sin(5x)}{x})
limit as x approaches infinity of 3/(4x)
\lim\:_{x\to\:\infty\:}(\frac{3}{4x})
limit as x approaches 0+of (x^2)/(e^x-1)
\lim\:_{x\to\:0+}(\frac{x^{2}}{e^{x}-1})
limit as x approaches pi of cos(x+cos(x))
\lim\:_{x\to\:π}(\cos(x+\cos(x)))
limit as x approaches 0 of (1-cos(8x))/(1-cos(3x))
\lim\:_{x\to\:0}(\frac{1-\cos(8x)}{1-\cos(3x)})
limit as x approaches 3 of (x-3)^{x-3}
\lim\:_{x\to\:3}((x-3)^{x-3})
limit as x approaches 0 of e^{cos(x)}
\lim\:_{x\to\:0}(e^{\cos(x)})
limit as x approaches x of e^x
\lim\:_{x\to\:x}(e^{x})
limit as x approaches 0 of 1/(x-x^2)
\lim\:_{x\to\:0}(\frac{1}{x-x^{2}})
limit as x approaches 0 of 1/x-1/(-x)
\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{-x})
limit as t approaches 0 of ((cos(t))/(cos(2t)))^{1/(t^2)}
\lim\:_{t\to\:0}((\frac{\cos(t)}{\cos(2t)})^{\frac{1}{t^{2}}})
limit as x approaches pi/2 of-3x-pi/2
\lim\:_{x\to\:\frac{π}{2}}(-3x-\frac{π}{2})
limit as x approaches 1 of x^3-2x
\lim\:_{x\to\:1}(x^{3}-2x)
limit as x approaches 0 of 2x^2-x+4
\lim\:_{x\to\:0}(2x^{2}-x+4)
limit as x approaches 0 of 1/(xe^x)
\lim\:_{x\to\:0}(\frac{1}{xe^{x}})
limit as x approaches 2 of ax^2+2x-4
\lim\:_{x\to\:2}(ax^{2}+2x-4)
limit as x approaches-3 of (2x)/(x+5)
\lim\:_{x\to\:-3}(\frac{2x}{x+5})
limit as x approaches 0+of 2xln(sin(x))
\lim\:_{x\to\:0+}(2x\ln(\sin(x)))
limit as x approaches 3 of sin(x-3)
\lim\:_{x\to\:3}(\sin(x-3))
limit as x approaches-3 of x^4
\lim\:_{x\to\:-3}(x^{4})
limit as x approaches 3-of 2^{1/(x-3)}
\lim\:_{x\to\:3-}(2^{\frac{1}{x-3}})
limit as x approaches 0+of 2-(96)/(x^3)
\lim\:_{x\to\:0+}(2-\frac{96}{x^{3}})
limit as x approaches 3 of-2x+5
\lim\:_{x\to\:3}(-2x+5)
limit as t approaches-3 of (6t+5)/(t+8)
\lim\:_{t\to\:-3}(\frac{6t+5}{t+8})
limit as x approaches 0 of e^3
\lim\:_{x\to\:0}(e^{3})
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