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Popular Calculus Problems
limit as x approaches 0+of 2x(ln(x))
\lim\:_{x\to\:0+}(2x(\ln(x)))
limit as x approaches+3 of 5/(x-3)
\lim\:_{x\to\:+3}(\frac{5}{x-3})
limit as x approaches 0+of 2x(ln(x))^2
\lim\:_{x\to\:0+}(2x(\ln(x))^{2})
limit as x approaches 1 of x^{2/(1-x^2)}
\lim\:_{x\to\:1}(x^{\frac{2}{1-x^{2}}})
limit as x approaches-2-of (|x+2|)/(x+2)
\lim\:_{x\to\:-2-}(\frac{\left|x+2\right|}{x+2})
limit as x approaches 1 of (ln(x))/(e^x)
\lim\:_{x\to\:1}(\frac{\ln(x)}{e^{x}})
limit as x approaches infinity of 3x^2+x
\lim\:_{x\to\:\infty\:}(3x^{2}+x)
limit as x approaches-infinity of-3x^4
\lim\:_{x\to\:-\infty\:}(-3x^{4})
limit as x approaches-2+of x/(x+2)
\lim\:_{x\to\:-2+}(\frac{x}{x+2})
limit as x approaches 0 of x/(ln(5x+1))
\lim\:_{x\to\:0}(\frac{x}{\ln(5x+1)})
limit as x approaches 2 of (x^3-2x^2-6x+12)/(x^2+3x-10)
\lim\:_{x\to\:2}(\frac{x^{3}-2x^{2}-6x+12}{x^{2}+3x-10})
limit as x approaches infinity of 4e^{-x}+6x-3
\lim\:_{x\to\:\infty\:}(4e^{-x}+6x-3)
limit as x approaches 9-of x/(x^2-81)
\lim\:_{x\to\:9-}(\frac{x}{x^{2}-81})
limit as x approaches 0+of e^{x^x}
\lim\:_{x\to\:0+}(e^{x^{x}})
limit as x approaches 0 of (1+6x)^{1/x}
\lim\:_{x\to\:0}((1+6x)^{\frac{1}{x}})
limit as x approaches 0 of (2x^2+x)/(5x)
\lim\:_{x\to\:0}(\frac{2x^{2}+x}{5x})
limit as x approaches 2 of ((x-2))/(sqrt(x)-\sqrt{2)}
\lim\:_{x\to\:2}(\frac{(x-2)}{\sqrt{x}-\sqrt{2}})
limit as x approaches 0+of 5xln(x)
\lim\:_{x\to\:0+}(5x\ln(x))
limit as x approaches 0 of (sin(ω)x)/x
\lim\:_{x\to\:0}(\frac{\sin(ω)x}{x})
limit as x approaches 0 of-1+x
\lim\:_{x\to\:0}(-1+x)
limit as x approaches 0 of (4/(x+2)-2)/x
\lim\:_{x\to\:0}(\frac{\frac{4}{x+2}-2}{x})
limit as x approaches 9 of log_{3}(x)
\lim\:_{x\to\:9}(\log_{3}(x))
limit as x approaches 0 of (2+x)/(1+x)
\lim\:_{x\to\:0}(\frac{2+x}{1+x})
limit as x approaches 0 of (ln(1-x^2))/x
\lim\:_{x\to\:0}(\frac{\ln(1-x^{2})}{x})
limit as x approaches infinity of ((x+1)/(x-1))^{x-1}
\lim\:_{x\to\:\infty\:}((\frac{x+1}{x-1})^{x-1})
limit as x approaches 0 of (sqrt(1+x^2)-\sqrt[3]{1-2x})/x
\lim\:_{x\to\:0}(\frac{\sqrt{1+x^{2}}-\sqrt[3]{1-2x}}{x})
limit as x approaches 0+of 7xln(x)
\lim\:_{x\to\:0+}(7x\ln(x))
limit as x approaches 0+of e^{-1/x}*x^{-2}
\lim\:_{x\to\:0+}(e^{-\frac{1}{x}}\cdot\:x^{-2})
limit as x approaches 0 of x^2sin(pi/x)
\lim\:_{x\to\:0}(x^{2}\sin(\frac{π}{x}))
limit as x approaches 3 of x-7
\lim\:_{x\to\:3}(x-7)
limit as x approaches 0 of ((1+3^x)/2)^{1/x}
\lim\:_{x\to\:0}((\frac{1+3^{x}}{2})^{\frac{1}{x}})
limit as z approaches i of (z^4-1)/(z-i)
\lim\:_{z\to\:i}(\frac{z^{4}-1}{z-i})
limit as x approaches-infinity of x/1
\lim\:_{x\to\:-\infty\:}(\frac{x}{1})
limit as x approaches 0 of 1/(xsin(x))
\lim\:_{x\to\:0}(\frac{1}{x\sin(x)})
limit as x approaches 0+of 1/(1+3^{1/x)}
\lim\:_{x\to\:0+}(\frac{1}{1+3^{\frac{1}{x}}})
limit as x approaches 0 of (e^{x-1})/x
\lim\:_{x\to\:0}(\frac{e^{x-1}}{x})
limit as x approaches-2+of 1/(4-x^2)
\lim\:_{x\to\:-2+}(\frac{1}{4-x^{2}})
limit as x approaches infinity of (2x+5)/(x^2-7x+3)
\lim\:_{x\to\:\infty\:}(\frac{2x+5}{x^{2}-7x+3})
limit as x approaches 0+of x/(sin(x))
\lim\:_{x\to\:0+}(\frac{x}{\sin(x)})
limit as x approaches 0+of g(x)(x)^{cot(x)}
\lim\:_{x\to\:0+}(g(x)(x)^{\cot(x)})
limit as x approaches-infinity of 3xe^x
\lim\:_{x\to\:-\infty\:}(3xe^{x})
limit as x approaches 2 of (x+1)/(x+2)
\lim\:_{x\to\:2}(\frac{x+1}{x+2})
limit as x approaches 1 of arccos(1/(x+1))
\lim\:_{x\to\:1}(\arccos(\frac{1}{x+1}))
limit as x approaches 0+of x/(e^{-1/x)}
\lim\:_{x\to\:0+}(\frac{x}{e^{-\frac{1}{x}}})
limit as x approaches 2 of 6x^2+3x-9
\lim\:_{x\to\:2}(6x^{2}+3x-9)
limit as x approaches 0 of (x^2)/(x^3)
\lim\:_{x\to\:0}(\frac{x^{2}}{x^{3}})
limit as x approaches-2+of (x^2+1)/(x+2)
\lim\:_{x\to\:-2+}(\frac{x^{2}+1}{x+2})
limit as x approaches-infinity of 6x^3-5x+3
\lim\:_{x\to\:-\infty\:}(6x^{3}-5x+3)
limit as x approaches 0 of (1-x/2)^{1/x}
\lim\:_{x\to\:0}((1-\frac{x}{2})^{\frac{1}{x}})
limit as x approaches 0 of (xtan(2x))/(sin^2(3x))
\lim\:_{x\to\:0}(\frac{x\tan(2x)}{\sin^{2}(3x)})
limit as x approaches 3 of x^2+7x+2
\lim\:_{x\to\:3}(x^{2}+7x+2)
limit as x approaches 0 of (ln(1+mx))/x
\lim\:_{x\to\:0}(\frac{\ln(1+mx)}{x})
limit as x approaches infinity of 3x+5
\lim\:_{x\to\:\infty\:}(3x+5)
limit as m approaches 0 of (sin(m))/m
\lim\:_{m\to\:0}(\frac{\sin(m)}{m})
limit as x approaches 1-of (arccos(x))/(sqrt(1-x^2))
\lim\:_{x\to\:1-}(\frac{\arccos(x)}{\sqrt{1-x^{2}}})
limit as x approaches-6+of x/(x+6)
\lim\:_{x\to\:-6+}(\frac{x}{x+6})
limit as x approaches 2 of sqrt(3x^2+4)
\lim\:_{x\to\:2}(\sqrt{3x^{2}+4})
limit as x approaches 5-of (-3)/(x-5)
\lim\:_{x\to\:5-}(\frac{-3}{x-5})
limit as x approaches 1 of sqrt(3x-2)
\lim\:_{x\to\:1}(\sqrt{3x-2})
limit as x approaches 3-of (2x)/(9-x^2)
\lim\:_{x\to\:3-}(\frac{2x}{9-x^{2}})
limit as x approaches 3+of 2/(3-x)
\lim\:_{x\to\:3+}(\frac{2}{3-x})
limit as x approaches 0 of (ln(x))/(e^x)
\lim\:_{x\to\:0}(\frac{\ln(x)}{e^{x}})
limit as x approaches 1+of 1/((x-1)^2)
\lim\:_{x\to\:1+}(\frac{1}{(x-1)^{2}})
limit as x approaches 0 of cos(x^3+3x)
\lim\:_{x\to\:0}(\cos(x^{3}+3x))
limit as x approaches infinity of (1-2/x)^{x/2-1}
\lim\:_{x\to\:\infty\:}((1-\frac{2}{x})^{\frac{x}{2}-1})
limit as x approaches 0+of 1/x-csc(x)
\lim\:_{x\to\:0+}(\frac{1}{x}-\csc(x))
limit as x approaches 2 of sqrt(5x+6)
\lim\:_{x\to\:2}(\sqrt{5x+6})
limit as x approaches 2 of (4ln(2x-3))/(2e^{2x-4)-2}
\lim\:_{x\to\:2}(\frac{4\ln(2x-3)}{2e^{2x-4}-2})
limit as x approaches 0 of x^2sec^2(x)
\lim\:_{x\to\:0}(x^{2}\sec^{2}(x))
limit as x approaches infinity of 3xe^x
\lim\:_{x\to\:\infty\:}(3xe^{x})
limit as x approaches b of (b-x)/(sqrt(x)-\sqrt{b)}
\lim\:_{x\to\:b}(\frac{b-x}{\sqrt{x}-\sqrt{b}})
limit as y approaches 1 of (y^{11}+2y-3)/(y^7+y^2-y-1)
\lim\:_{y\to\:1}(\frac{y^{11}+2y-3}{y^{7}+y^{2}-y-1})
limit as x approaches 1 of 3x+2
\lim\:_{x\to\:1}(3x+2)
limit as x approaches 1 of 3x^2-7x+2
\lim\:_{x\to\:1}(3x^{2}-7x+2)
limit as x approaches 0 of (1-sin(x))/x
\lim\:_{x\to\:0}(\frac{1-\sin(x)}{x})
limit as x approaches 0 of (2^x+x)^{1/x}
\lim\:_{x\to\:0}((2^{x}+x)^{\frac{1}{x}})
limit as x approaches infinity of ln(x^{2/x})
\lim\:_{x\to\:\infty\:}(\ln(x^{\frac{2}{x}}))
limit as x approaches 0+of ln((x+1)^x)
\lim\:_{x\to\:0+}(\ln((x+1)^{x}))
limit as x approaches 1+of ln(x)ln(x-1)
\lim\:_{x\to\:1+}(\ln(x)\ln(x-1))
limit as x approaches 4 of 3(x-4)^{x-4}
\lim\:_{x\to\:4}(3(x-4)^{x-4})
limit as x approaches-3-of (4-x^2)/(x+3)
\lim\:_{x\to\:-3-}(\frac{4-x^{2}}{x+3})
limit as x approaches 0 of 2xcsc(x)
\lim\:_{x\to\:0}(2x\csc(x))
limit as x approaches 1 of (x^2-4)/(x+2)
\lim\:_{x\to\:1}(\frac{x^{2}-4}{x+2})
limit as x approaches 0 of ln(sin(|x|))
\lim\:_{x\to\:0}(\ln(\sin(\left|x\right|)))
limit as x approaches-2 of 2| x/(x^2-4)|
\lim\:_{x\to\:-2}(2\left|\frac{x}{x^{2}-4}\right|)
limit as x approaches-infinity of e^x-2
\lim\:_{x\to\:-\infty\:}(e^{x}-2)
limit as x approaches-8-of (3-4x)/(x+8)
\lim\:_{x\to\:-8-}(\frac{3-4x}{x+8})
limit as x approaches-2 of x^3-3x^2+4x-1
\lim\:_{x\to\:-2}(x^{3}-3x^{2}+4x-1)
limit as x approaches 0 of (3^{2x}-1)/x
\lim\:_{x\to\:0}(\frac{3^{2x}-1}{x})
limit as x approaches-1 of 1-4x
\lim\:_{x\to\:-1}(1-4x)
limit as x approaches-infinity of 2^x-1
\lim\:_{x\to\:-\infty\:}(2^{x}-1)
limit as x approaches 2 of e^{x^2-2}
\lim\:_{x\to\:2}(e^{x^{2}-2})
limit as x approaches 3 of (5x+3)/(x-1)
\lim\:_{x\to\:3}(\frac{5x+3}{x-1})
limit as x approaches 0 of (cos(x))/1
\lim\:_{x\to\:0}(\frac{\cos(x)}{1})
limit as x approaches 0 of ln(1+e^{-x})
\lim\:_{x\to\:0}(\ln(1+e^{-x}))
limit as x approaches-infinity of (sqrt(ax^2+bx+c))/(d-ax)
\lim\:_{x\to\:-\infty\:}(\frac{\sqrt{ax^{2}+bx+c}}{d-ax})
limit as x approaches 0 of 4x^2+3x-2
\lim\:_{x\to\:0}(4x^{2}+3x-2)
limit as x approaches 0 of ((1+1)/x)^x
\lim\:_{x\to\:0}((\frac{1+1}{x})^{x})
limit as x approaches 0+of x/(e^{-8/x)}
\lim\:_{x\to\:0+}(\frac{x}{e^{-\frac{8}{x}}})
limit as x approaches-1 of (x^2+6)/(x+1)
\lim\:_{x\to\:-1}(\frac{x^{2}+6}{x+1})
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