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Popular Calculus Problems

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})
limit as x approaches-infinity of x,-1	\lim\:_{x\to\:-\infty\:}(x,-1)
limit as x approaches 3 of 3x^2	\lim\:_{x\to\:3}(3x^{2})
limit as x approaches-infinity of (6x)/(x+cos(x))	\lim\:_{x\to\:-\infty\:}(\frac{6x}{x+\cos(x)})
limit as x approaches 3 of x^2-6x+4	\lim\:_{x\to\:3}(x^{2}-6x+4)
limit as x approaches 0 of (5x-tan(5x))/(x^3)	\lim\:_{x\to\:0}(\frac{5x-\tan(5x)}{x^{3}})
limit as x approaches-7 of (x^2+7x)/(x^2-2x-63)	\lim\:_{x\to\:-7}(\frac{x^{2}+7x}{x^{2}-2x-63})
limit as x approaches 0 of csc(x)sin(sin(x))	\lim\:_{x\to\:0}(\csc(x)\sin(\sin(x)))
limit as t approaches infinity of (ln(3t))/(t^2)	\lim\:_{t\to\:\infty\:}(\frac{\ln(3t)}{t^{2}})
limit as x approaches 0 of 2x+3	\lim\:_{x\to\:0}(2x+3)
limit as x approaches 1 of x^2+2x+5	\lim\:_{x\to\:1}(x^{2}+2x+5)
limit as x approaches 0 of x^2+3x	\lim\:_{x\to\:0}(x^{2}+3x)
limit as x approaches-5 of-35+3x+2x^2	\lim\:_{x\to\:-5}(-35+3x+2x^{2})
limit as x approaches infinity of x^{2e^{-x}}	\lim\:_{x\to\:\infty\:}(x^{2e^{-x}})
limit as x approaches infinity of x^e	\lim\:_{x\to\:\infty\:}(x^{e})
limit as x approaches 0+of 4xln(x)	\lim\:_{x\to\:0+}(4x\ln(x))
limit as x approaches-infinity of 6/x	\lim\:_{x\to\:-\infty\:}(\frac{6}{x})
limit as x approaches 0 of 3xcot(2x)	\lim\:_{x\to\:0}(3x\cot(2x))
limit as x approaches 0-of 2/(x^3)	\lim\:_{x\to\:0-}(\frac{2}{x^{3}})
limit as x approaches 0 of (1-x^2)^{1/x}	\lim\:_{x\to\:0}((1-x^{2})^{\frac{1}{x}})

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