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Popular Calculus Problems
limit as x approaches-2+of (x^2-x)/(x+2)
\lim\:_{x\to\:-2+}(\frac{x^{2}-x}{x+2})
limit as x approaches 0 of (1-x) 1/x
\lim\:_{x\to\:0}((1-x)\frac{1}{x})
limit as x approaches 4 of 1/(sqrt(x))
\lim\:_{x\to\:4}(\frac{1}{\sqrt{x}})
limit as x approaches 0 of 3-8x+3x^2
\lim\:_{x\to\:0}(3-8x+3x^{2})
limit as x approaches 1-of (-2)/(x-1)
\lim\:_{x\to\:1-}(\frac{-2}{x-1})
limit as x approaches-3 of 1/x
\lim\:_{x\to\:-3}(\frac{1}{x})
limit as x approaches 2 of x^2+2x-3
\lim\:_{x\to\:2}(x^{2}+2x-3)
limit as x approaches 0 of (7^x-6^x)/x
\lim\:_{x\to\:0}(\frac{7^{x}-6^{x}}{x})
limit as x approaches 0+of 1/x-1/(1-e^x)
\lim\:_{x\to\:0+}(\frac{1}{x}-\frac{1}{1-e^{x}})
limit as x approaches-3 of 4^x
\lim\:_{x\to\:-3}(4^{x})
limit as x approaches-infinity of-3x^5+2x-4
\lim\:_{x\to\:-\infty\:}(-3x^{5}+2x-4)
limit as x approaches 3 of (x^2+3)/(x+3)
\lim\:_{x\to\:3}(\frac{x^{2}+3}{x+3})
limit as x approaches 1 of x^{ln(x)}
\lim\:_{x\to\:1}(x^{\ln(x)})
limit as x approaches 2 of (sin(pix))/(x^2-4)
\lim\:_{x\to\:2}(\frac{\sin(πx)}{x^{2}-4})
limit as x approaches-infinity of (sqrt(4x^2+1))/(3x-1)
\lim\:_{x\to\:-\infty\:}(\frac{\sqrt{4x^{2}+1}}{3x-1})
limit as x approaches 2-of e^{1/((x-2))}
\lim\:_{x\to\:2-}(e^{\frac{1}{(x-2)}})
limit as x approaches infinity of (2+x)^{1/x}
\lim\:_{x\to\:\infty\:}((2+x)^{\frac{1}{x}})
limit as x approaches 3+of (1-x)/(x-3)
\lim\:_{x\to\:3+}(\frac{1-x}{x-3})
limit as x approaches 1-of x^{1/((1-x))}
\lim\:_{x\to\:1-}(x^{\frac{1}{(1-x)}})
limit as x approaches infinity of 1-x^3
\lim\:_{x\to\:\infty\:}(1-x^{3})
limit as x approaches 0 of x+4/(x^2)
\lim\:_{x\to\:0}(x+\frac{4}{x^{2}})
limit as x approaches 1 of 2/(1-x)
\lim\:_{x\to\:1}(\frac{2}{1-x})
limit as x approaches 0 of (1+x^2)^{1/(1-cos(x))}
\lim\:_{x\to\:0}((1+x^{2})^{\frac{1}{1-\cos(x)}})
limit as x approaches infinity of (4x)/x
\lim\:_{x\to\:\infty\:}(\frac{4x}{x})
limit as x approaches 1 of (x-1)/(x^2)
\lim\:_{x\to\:1}(\frac{x-1}{x^{2}})
limit as x approaches 10 of (10x)/(2x+5)
\lim\:_{x\to\:10}(\frac{10x}{2x+5})
limit as x approaches pi/4 of tan(2x)tan(pi/4-x)
\lim\:_{x\to\:\frac{π}{4}}(\tan(2x)\tan(\frac{π}{4}-x))
limit as x approaches 0 of (1-7x)^{8/x}
\lim\:_{x\to\:0}((1-7x)^{\frac{8}{x}})
limit as x approaches infinity of pi/2
\lim\:_{x\to\:\infty\:}(\frac{π}{2})
limit as x approaches-2 of x-3
\lim\:_{x\to\:-2}(x-3)
limit as x approaches 0-of 1/x-1/(x^2)
\lim\:_{x\to\:0-}(\frac{1}{x}-\frac{1}{x^{2}})
limit as x approaches 0+of xln(x)-x
\lim\:_{x\to\:0+}(x\ln(x)-x)
limit as x approaches 2 of (x+3)^{-3}
\lim\:_{x\to\:2}((x+3)^{-3})
limit as x approaches 4+of 1/(4-x)
\lim\:_{x\to\:4+}(\frac{1}{4-x})
limit as x approaches 1 of log_{2}(8x)
\lim\:_{x\to\:1}(\log_{2}(8x))
limit as x approaches infinity of (5x)^{1/x}
\lim\:_{x\to\:\infty\:}((5x)^{\frac{1}{x}})
limit as x approaches 0 of (x+sin(x))^x
\lim\:_{x\to\:0}((x+\sin(x))^{x})
limit as x approaches 0 of 2e^x
\lim\:_{x\to\:0}(2e^{x})
limit as x approaches-infinity of-5x
\lim\:_{x\to\:-\infty\:}(-5x)
limit as x approaches infinity of (2x^{-5}+1)^{6x^5}
\lim\:_{x\to\:\infty\:}((2x^{-5}+1)^{6x^{5}})
limit as x approaches 0 of sqrt(x)+1
\lim\:_{x\to\:0}(\sqrt{x}+1)
limit as x approaches 0 of (mx)/(m^4x^2)
\lim\:_{x\to\:0}(\frac{mx}{m^{4}x^{2}})
limit as x approaches 0-of ln(1-e^x)
\lim\:_{x\to\:0-}(\ln(1-e^{x}))
limit as x approaches infinity of-1+x
\lim\:_{x\to\:\infty\:}(-1+x)
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-2 of x^5+8x-3x+7/9
\lim\:_{x\to\:-2}(x^{5}+8x-3x+\frac{7}{9})
limit as x approaches pi of+(x/(sin(x)))
\lim\:_{x\to\:π}(+(\frac{x}{\sin(x)}))
limit as x approaches 1+of x^{ln(ln(x))}
\lim\:_{x\to\:1+}(x^{\ln(\ln(x))})
limit as x approaches 0+of 2/(sin(x))
\lim\:_{x\to\:0+}(\frac{2}{\sin(x)})
limit as x approaches 0 of (-sin(x))/x
\lim\:_{x\to\:0}(\frac{-\sin(x)}{x})
limit as x approaches 0 of (b^x-a^x)/x
\lim\:_{x\to\:0}(\frac{b^{x}-a^{x}}{x})
limit as x approaches 5/2 of (4x^2-25)/(2x-5)
\lim\:_{x\to\:\frac{5}{2}}(\frac{4x^{2}-25}{2x-5})
limit as x approaches 0 of ((8+x)^{1/3}-2)/x
\lim\:_{x\to\:0}(\frac{(8+x)^{\frac{1}{3}}-2}{x})
limit as x approaches-infinity of x^2+x
\lim\:_{x\to\:-\infty\:}(x^{2}+x)
limit as x approaches-3 of x^2+2x-5
\lim\:_{x\to\:-3}(x^{2}+2x-5)
limit as x approaches 0 of e^{1/x}-1
\lim\:_{x\to\:0}(e^{\frac{1}{x}}-1)
limit as (y) approaches (9) of 3x^2+6xy
\lim\:_{(y)\to\:(9)}(3x^{2}+6xy)
limit as x approaches 0 of (sec(x))^{4x}
\lim\:_{x\to\:0}((\sec(x))^{4x})
limit as x approaches 0+of-(sin(sqrt(x)))/(2*sqrt(x))
\lim\:_{x\to\:0+}(-\frac{\sin(\sqrt{x})}{2\cdot\:\sqrt{x}})
limit as x approaches 1 of (x-x^4)/(1-x)
\lim\:_{x\to\:1}(\frac{x-x^{4}}{1-x})
limit as x approaches infinity of (sqrt(1+\sqrt{x)})/(\sqrt[3]{1+x)}
\lim\:_{x\to\:\infty\:}(\frac{\sqrt{1+\sqrt{x}}}{\sqrt[3]{1+x}})
limit as x approaches-infinity of e^xx
\lim\:_{x\to\:-\infty\:}(e^{x}x)
limit as x approaches 14 of sqrt(2)
\lim\:_{x\to\:14}(\sqrt{2})
limit as x approaches 0 of ln(x)sqrt(x)
\lim\:_{x\to\:0}(\ln(x)\sqrt{x})
limit as x approaches infinity of (e^{5x})/(3-e^{2x)}
\lim\:_{x\to\:\infty\:}(\frac{e^{5x}}{3-e^{2x}})
limit as x approaches 0 of xcos(2x)
\lim\:_{x\to\:0}(x\cos(2x))
limit as x approaches 0 of sin(x)cos(x)
\lim\:_{x\to\:0}(\sin(x)\cos(x))
limit as x approaches infinity of-8(3/x)
\lim\:_{x\to\:\infty\:}(-8(\frac{3}{x}))
limit as x approaches infinity of (1/x)/(1/(2sqrt(x)))
\lim\:_{x\to\:\infty\:}(\frac{\frac{1}{x}}{\frac{1}{2\sqrt{x}}})
limit as x approaches-pi/4 of e^{tan(x)}
\lim\:_{x\to\:-\frac{π}{4}}(e^{\tan(x)})
limit as x approaches 0 of (5^x-6^x)/x
\lim\:_{x\to\:0}(\frac{5^{x}-6^{x}}{x})
limit as x approaches 1+of x/(1-x)
\lim\:_{x\to\:1+}(\frac{x}{1-x})
limit as x approaches 0+of x|x|
\lim\:_{x\to\:0+}(x\left|x\right|)
limit as x approaches 0 of 8/x
\lim\:_{x\to\:0}(\frac{8}{x})
limit as x approaches-infinity of 2(x)
\lim\:_{x\to\:-\infty\:}(2(x))
limit as x approaches 0+of x^{(x^x)}
\lim\:_{x\to\:0+}(x^{(x^{x})})
limit as x approaches 1+of (x^2)/(x-1)
\lim\:_{x\to\:1+}(\frac{x^{2}}{x-1})
limit as x approaches 0 of 1+1/x+1/(x^2)
\lim\:_{x\to\:0}(1+\frac{1}{x}+\frac{1}{x^{2}})
limit as x approaches 8-of (-7)/(x^2-8x)
\lim\:_{x\to\:8-}(\frac{-7}{x^{2}-8x})
limit as x approaches 0 of 1+2x
\lim\:_{x\to\:0}(1+2x)
limit as x approaches 0 of 3xcsc(x)
\lim\:_{x\to\:0}(3x\csc(x))
limit as x approaches 0+of x^3sin(1/x)
\lim\:_{x\to\:0+}(x^{3}\sin(\frac{1}{x}))
limit as x approaches 2 of x/(4-x^2)
\lim\:_{x\to\:2}(\frac{x}{4-x^{2}})
limit as x approaches 2 of sqrt(9x^2)-2x
\lim\:_{x\to\:2}(\sqrt{9x^{2}}-2x)
limit as x approaches 0 of x/(1+|x|)
\lim\:_{x\to\:0}(\frac{x}{1+\left|x\right|})
limit as x approaches 0 of (ln(x))/(1+2ln(sin(x)))
\lim\:_{x\to\:0}(\frac{\ln(x)}{1+2\ln(\sin(x))})
limit as x approaches 3 of 3x+1
\lim\:_{x\to\:3}(3x+1)
limit as x approaches 0 of (e^{x^2})/x
\lim\:_{x\to\:0}(\frac{e^{x^{2}}}{x})
limit as x approaches-infinity of x^8
\lim\:_{x\to\:-\infty\:}(x^{8})
limit as x approaches 0 of x^{3x^2}
\lim\:_{x\to\:0}(x^{3x^{2}})
limit as x approaches infinity of (ln(e^{3x}+x^2))/x
\lim\:_{x\to\:\infty\:}(\frac{\ln(e^{3x}+x^{2})}{x})
limit as x approaches-1 of 5x^2+3x-4
\lim\:_{x\to\:-1}(5x^{2}+3x-4)
limit as x approaches 0 of (x^2+6x)/x
\lim\:_{x\to\:0}(\frac{x^{2}+6x}{x})
limit as x approaches 0 of x^2e^{x^{-2}}
\lim\:_{x\to\:0}(x^{2}e^{x^{-2}})
limit as x approaches 1/2 of 5/4
\lim\:_{x\to\:\frac{1}{2}}(\frac{5}{4})
limit as x approaches 1+of sqrt(1-x)
\lim\:_{x\to\:1+}(\sqrt{1-x})
limit as x approaches-5-of (-3x)/(x+5)
\lim\:_{x\to\:-5-}(\frac{-3x}{x+5})
limit as h approaches 0 of (cos((3pi)/2+h)-cos((3pi)/2))/(h)
\lim\:_{h\to\:0}(\frac{\cos(\frac{3π}{2}+h)-\cos(\frac{3π}{2})}{h})
limit as x approaches 2 of sqrt(x+7)
\lim\:_{x\to\:2}(\sqrt{x+7})
limit as x approaches 0 of ((cos(5x)-1))/(xsin(x))
\lim\:_{x\to\:0}(\frac{(\cos(5x)-1)}{x\sin(x)})
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