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Popular Calculus Problems
limit as x approaches-3 of x^2+6x+21
\lim\:_{x\to\:-3}(x^{2}+6x+21)
limit as n approaches infinity of 3-1/n
\lim\:_{n\to\:\infty\:}(3-\frac{1}{n})
limit as x approaches 0 of (sin(x)+1)/x
\lim\:_{x\to\:0}(\frac{\sin(x)+1}{x})
limit as x approaches 0 of (x+1)/(2^x-1)
\lim\:_{x\to\:0}(\frac{x+1}{2^{x}-1})
limit as x approaches 0+of e^x-1
\lim\:_{x\to\:0+}(e^{x}-1)
limit as x approaches 1 of ((3+x)^2-9)/x
\lim\:_{x\to\:1}(\frac{(3+x)^{2}-9}{x})
limit as x approaches 3 of (2x+3)/(x+3)
\lim\:_{x\to\:3}(\frac{2x+3}{x+3})
limit as x approaches 0 of (2x)/(1+x^2)
\lim\:_{x\to\:0}(\frac{2x}{1+x^{2}})
limit as x approaches 0 of (x^2+x+1)/x
\lim\:_{x\to\:0}(\frac{x^{2}+x+1}{x})
limit as x approaches 1 of (e^x)/(x^2)
\lim\:_{x\to\:1}(\frac{e^{x}}{x^{2}})
limit as x approaches 4 of 5x^2-9x-3
\lim\:_{x\to\:4}(5x^{2}-9x-3)
limit as x approaches 0+of-4ln(x)
\lim\:_{x\to\:0+}(-4\ln(x))
limit as x approaches 0+of x^{18x}
\lim\:_{x\to\:0+}(x^{18x})
limit as x approaches 0 of e^{-x}-1
\lim\:_{x\to\:0}(e^{-x}-1)
limit as h approaches 0 of ((1+h)^{3pi}-1)/h
\lim\:_{h\to\:0}(\frac{(1+h)^{3π}-1}{h})
limit as x approaches-infinity of-17x^2
\lim\:_{x\to\:-\infty\:}(-17x^{2})
limit as x approaches 100 of sqrt(x)
\lim\:_{x\to\:100}(\sqrt{x})
limit as x approaches-4 of x^2-10
\lim\:_{x\to\:-4}(x^{2}-10)
limit as x approaches pi/2-of sin(x)
\lim\:_{x\to\:\frac{π}{2}-}(\sin(x))
limit as m approaches 0 of m/(1/m)
\lim\:_{m\to\:0}(\frac{m}{\frac{1}{m}})
limit as x approaches 0 of 1/(x^2+3x)
\lim\:_{x\to\:0}(\frac{1}{x^{2}+3x})
limit as x approaches 1+of (8x+2/x)^5
\lim\:_{x\to\:1+}((8x+\frac{2}{x})^{5})
limit as x approaches infinity of 3^2
\lim\:_{x\to\:\infty\:}(3^{2})
limit as x approaches-7+of (x+7)/(|x+7|)
\lim\:_{x\to\:-7+}(\frac{x+7}{\left|x+7\right|})
limit as x approaches 0 of xln(x)-1
\lim\:_{x\to\:0}(x\ln(x)-1)
limit as x approaches 0+of |(sin(x))/x |
\lim\:_{x\to\:0+}(\left|\frac{\sin(x)}{x}\right|)
limit as x approaches-9 of x+9
\lim\:_{x\to\:-9}(x+9)
limit as x approaches-2+of (x-2)/(x^2-4)
\lim\:_{x\to\:-2+}(\frac{x-2}{x^{2}-4})
limit as x approaches 3 of 2x+7
\lim\:_{x\to\:3}(2x+7)
limit as x approaches 0 of (3tan(2x))/x
\lim\:_{x\to\:0}(\frac{3\tan(2x)}{x})
limit as x approaches 0 of x^2+2x+3
\lim\:_{x\to\:0}(x^{2}+2x+3)
limit as x approaches 4 of f(x)g(x)
\lim\:_{x\to\:4}(f(x)g(x))
limit as t approaches 0 of t^2+1
\lim\:_{t\to\:0}(t^{2}+1)
limit as x approaches-1 of 3x
\lim\:_{x\to\:-1}(3x)
limit as x approaches 4 of 2x-3
\lim\:_{x\to\:4}(2x-3)
limit as x approaches 0 of (4sin(2x))/5
\lim\:_{x\to\:0}(\frac{4\sin(2x)}{5})
limit as x approaches 0 of (x^3)/(x^3)
\lim\:_{x\to\:0}(\frac{x^{3}}{x^{3}})
limit as z approaches 2 of (z^2-4)/(z-2)
\lim\:_{z\to\:2}(\frac{z^{2}-4}{z-2})
limit as x approaches 0 of (1/x)tan(x)
\lim\:_{x\to\:0}((\frac{1}{x})\tan(x))
limit as x approaches infinity of (1-3/x)^{x^2}
\lim\:_{x\to\:\infty\:}((1-\frac{3}{x})^{x^{2}})
limit as x approaches 2+of (3-x)/(x-2)
\lim\:_{x\to\:2+}(\frac{3-x}{x-2})
limit as x approaches 0 of (x(x+1))/x
\lim\:_{x\to\:0}(\frac{x(x+1)}{x})
limit as x approaches 0 of xe^{(-1)/x}
\lim\:_{x\to\:0}(xe^{\frac{-1}{x}})
limit as x approaches 1 of x^2-5x+6
\lim\:_{x\to\:1}(x^{2}-5x+6)
limit as x approaches infinity-of x
\lim\:_{x\to\:\infty\:-}(x)
limit as x approaches 0-of 6x+2e^x-2
\lim\:_{x\to\:0-}(6x+2e^{x}-2)
limit as x approaches 3 of (x^4-3)/(x-3)
\lim\:_{x\to\:3}(\frac{x^{4}-3}{x-3})
limit as x approaches infinity of (x!)/3
\lim\:_{x\to\:\infty\:}(\frac{x!}{3})
limit as x approaches 0 of cos(2/x)x^4
\lim\:_{x\to\:0}(\cos(\frac{2}{x})x^{4})
limit as x approaches infinity of ((1+1)/x)^{2x}
\lim\:_{x\to\:\infty\:}((\frac{1+1}{x})^{2x})
limit as x approaches pi of (2x)/(3x^2)
\lim\:_{x\to\:π}(\frac{2x}{3x^{2}})
limit as x approaches-2 of x^3+6x
\lim\:_{x\to\:-2}(x^{3}+6x)
limit as x approaches 0 of (x^2)/(x^4+1)
\lim\:_{x\to\:0}(\frac{x^{2}}{x^{4}+1})
limit as x approaches 10 of ln(x^3)
\lim\:_{x\to\:10}(\ln(x^{3}))
limit as x approaches 1000 of ln(x)
\lim\:_{x\to\:1000}(\ln(x))
limit as x approaches-12 of (4x)/(x+12)
\lim\:_{x\to\:-12}(\frac{4x}{x+12})
limit as x approaches 0 of ln(1+4x)
\lim\:_{x\to\:0}(\ln(1+4x))
limit as x approaches 0-of arccot(1/x)
\lim\:_{x\to\:0-}(\arccot(\frac{1}{x}))
limit as x approaches 0 of e^{1/(2x)}
\lim\:_{x\to\:0}(e^{\frac{1}{2x}})
limit as x approaches 1 of sin(pi)x
\lim\:_{x\to\:1}(\sin(π)x)
limit as x approaches 1 of x^3+4x^2-x+1
\lim\:_{x\to\:1}(x^{3}+4x^{2}-x+1)
limit as x approaches 0-of (ln(1-x))/x
\lim\:_{x\to\:0-}(\frac{\ln(1-x)}{x})
limit as x approaches 0 of 2/(3x)
\lim\:_{x\to\:0}(\frac{2}{3x})
limit as x approaches 0 of sin(x)(ln(x))
\lim\:_{x\to\:0}(\sin(x)(\ln(x)))
limit as x approaches 3/4 of x
\lim\:_{x\to\:\frac{3}{4}}(x)
limit as x approaches 1 of x+5
\lim\:_{x\to\:1}(x+5)
limit as θ approaches pi/(2^+) of sec(θ)
\lim\:_{θ\to\:\frac{π}{2^{+}}}(\sec(θ))
limit as x approaches 1-of 1/(x-2)
\lim\:_{x\to\:1-}(\frac{1}{x-2})
limit as x approaches 3 of 5x^3+2x^2+x
\lim\:_{x\to\:3}(5x^{3}+2x^{2}+x)
limit as x approaches-3-of |(-2x)/(x+5)|
\lim\:_{x\to\:-3-}(\left|\frac{-2x}{x+5}\right|)
limit as x approaches 0 of (-5)/x
\lim\:_{x\to\:0}(\frac{-5}{x})
limit as x approaches-1 of 2/((x+1)^2)
\lim\:_{x\to\:-1}(\frac{2}{(x+1)^{2}})
limit as x approaches 0 of arctan(1)
\lim\:_{x\to\:0}(\arctan(1))
limit as x approaches-2 of x/(4-x^2)
\lim\:_{x\to\:-2}(\frac{x}{4-x^{2}})
limit as x approaches 0 of 1/x-2csc(x)
\lim\:_{x\to\:0}(\frac{1}{x}-2\csc(x))
limit as θ approaches 0 of sin(3θ)
\lim\:_{θ\to\:0}(\sin(3θ))
limit as x approaches infinity of (1-cos(4x))/(x^2)
\lim\:_{x\to\:\infty\:}(\frac{1-\cos(4x)}{x^{2}})
limit as x approaches 0 of x(1/3)^x
\lim\:_{x\to\:0}(x(\frac{1}{3})^{x})
limit as x approaches 0 of (6x^2+1x)/x
\lim\:_{x\to\:0}(\frac{6x^{2}+1x}{x})
limit as x approaches 4 of x^4+3x^3-x
\lim\:_{x\to\:4}(x^{4}+3x^{3}-x)
limit as x approaches 2+of x/(x+2)
\lim\:_{x\to\:2+}(\frac{x}{x+2})
limit as x approaches 0 of (x^2+9x)/x
\lim\:_{x\to\:0}(\frac{x^{2}+9x}{x})
limit as x approaches 0+of x*cot(x)
\lim\:_{x\to\:0+}(x\cdot\:\cot(x))
limit as x approaches 3-of 1/((x-3)^5)
\lim\:_{x\to\:3-}(\frac{1}{(x-3)^{5}})
limit as x approaches 0 of x^2g(x)
\lim\:_{x\to\:0}(x^{2}g(x))
limit as x approaches 1 of (\sqrt[3]{x-1})/(1-sqrt(x))
\lim\:_{x\to\:1}(\frac{\sqrt[3]{x-1}}{1-\sqrt{x}})
limit as x approaches 0 of x^{x/2}
\lim\:_{x\to\:0}(x^{\frac{x}{2}})
limit as x approaches pi/2 of 2sin(x)
\lim\:_{x\to\:\frac{π}{2}}(2\sin(x))
limit as x approaches 0+of (x-5)e^{1/x}
\lim\:_{x\to\:0+}((x-5)e^{\frac{1}{x}})
limit as x approaches 1 of (1-x)/(1-x^2)
\lim\:_{x\to\:1}(\frac{1-x}{1-x^{2}})
limit as x approaches-1 of 2^{1+ln|x|}
\lim\:_{x\to\:-1}(2^{1+\ln\left|x\right|})
limit as x approaches 0 of cos(x+1+6^x)
\lim\:_{x\to\:0}(\cos(x+1+6^{x}))
limit as n approaches infinity of 2-1/n
\lim\:_{n\to\:\infty\:}(2-\frac{1}{n})
limit as x approaches 0+of xcos(pi/x)
\lim\:_{x\to\:0+}(x\cos(\frac{π}{x}))
limit as x approaches infinity of (1.1^x)/x
\lim\:_{x\to\:\infty\:}(\frac{1.1^{x}}{x})
limit as x approaches 4 of 1/(2sqrt(x))
\lim\:_{x\to\:4}(\frac{1}{2\sqrt{x}})
limit as x approaches 4/5 of 1/(5x-4)
\lim\:_{x\to\:\frac{4}{5}}(\frac{1}{5x-4})
limit as x approaches 2 of (x-2)/(x+4)
\lim\:_{x\to\:2}(\frac{x-2}{x+4})
limit as x approaches 3 of (3x^2+5x+1)/x
\lim\:_{x\to\:3}(\frac{3x^{2}+5x+1}{x})
limit as x approaches infinity of 3x+3
\lim\:_{x\to\:\infty\:}(3x+3)
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