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Popular Calculus Problems
limit as x approaches 0+of ln(cos(x))
\lim\:_{x\to\:0+}(\ln(\cos(x)))
limit as x approaches 2+of (x^2-5x+6)/(x^2-7x+12)
\lim\:_{x\to\:2+}(\frac{x^{2}-5x+6}{x^{2}-7x+12})
limit as x approaches-2 of tan(pi/2 x)
\lim\:_{x\to\:-2}(\tan(\frac{π}{2}x))
limit as x approaches 0 of cos(x)*ln(x)
\lim\:_{x\to\:0}(\cos(x)\cdot\:\ln(x))
limit as x approaches 0-of x^3-1/x
\lim\:_{x\to\:0-}(x^{3}-\frac{1}{x})
limit as x approaches-1 of ln(x+2)
\lim\:_{x\to\:-1}(\ln(x+2))
limit as x approaches infinity of e^{kx}
\lim\:_{x\to\:\infty\:}(e^{kx})
limit as n approaches infinity of (cos(n))/(n^2)
\lim\:_{n\to\:\infty\:}(\frac{\cos(n)}{n^{2}})
limit as x approaches pi of tan(x/4)
\lim\:_{x\to\:π}(\tan(\frac{x}{4}))
limit as x approaches 0 of xtan(pi/2-x)
\lim\:_{x\to\:0}(x\tan(\frac{π}{2}-x))
limit as x approaches 2-of (-3)/(x-2)
\lim\:_{x\to\:2-}(\frac{-3}{x-2})
limit as x approaches 0 of (4x-x^2)/x
\lim\:_{x\to\:0}(\frac{4x-x^{2}}{x})
limit as x approaches 0 of x/(2x^2)
\lim\:_{x\to\:0}(\frac{x}{2x^{2}})
limit as x approaches 0+of (e^{1+x}-e)/x
\lim\:_{x\to\:0+}(\frac{e^{1+x}-e}{x})
limit as x approaches-2 of x^2+4
\lim\:_{x\to\:-2}(x^{2}+4)
limit as x approaches 0+of e^{-1/(x^2)}
\lim\:_{x\to\:0+}(e^{-\frac{1}{x^{2}}})
limit as x approaches-1 of 1/((1+x)^2)
\lim\:_{x\to\:-1}(\frac{1}{(1+x)^{2}})
limit as x approaches-2 of 3x^3+y
\lim\:_{x\to\:-2}(3x^{3}+y)
limit as x approaches-3-of 1/((x+3)^5)
\lim\:_{x\to\:-3-}(\frac{1}{(x+3)^{5}})
limit as x approaches pi/3 of cot(x)+2
\lim\:_{x\to\:\frac{π}{3}}(\cot(x)+2)
limit as x approaches 0 of xln(4x)
\lim\:_{x\to\:0}(x\ln(4x))
limit as x approaches 3 of x^3-27
\lim\:_{x\to\:3}(x^{3}-27)
limit as b approaches 0 of csc(b)-cot(b)
\lim\:_{b\to\:0}(\csc(b)-\cot(b))
limit as x approaches 0 of xln(6x)
\lim\:_{x\to\:0}(x\ln(6x))
limit as x approaches 0 of (cot(5x))/x
\lim\:_{x\to\:0}(\frac{\cot(5x)}{x})
limit as x approaches 2 of 3^{2x-1}
\lim\:_{x\to\:2}(3^{2x-1})
limit as x approaches 1 of-ln(1-x)
\lim\:_{x\to\:1}(-\ln(1-x))
limit as x approaches 0 of xln(tan(x))
\lim\:_{x\to\:0}(x\ln(\tan(x)))
limit as x approaches 0 of (x^2)/(x^2-1)
\lim\:_{x\to\:0}(\frac{x^{2}}{x^{2}-1})
limit as x approaches 3-of (x+4)/(x+3)
\lim\:_{x\to\:3-}(\frac{x+4}{x+3})
limit as x approaches 2+of 1/(4-x^2)
\lim\:_{x\to\:2+}(\frac{1}{4-x^{2}})
limit as x approaches 0 of (1/(x-1)+1)/x
\lim\:_{x\to\:0}(\frac{\frac{1}{x-1}+1}{x})
limit as x approaches-5 of (x-4)/(x+5)
\lim\:_{x\to\:-5}(\frac{x-4}{x+5})
limit as x approaches 3 of (x+2)/(x^2-9)
\lim\:_{x\to\:3}(\frac{x+2}{x^{2}-9})
limit as x approaches 5+of (x+13)/(x-5)
\lim\:_{x\to\:5+}(\frac{x+13}{x-5})
limit as x approaches infinity of F(x)
\lim\:_{x\to\:\infty\:}(F(x))
limit as x approaches 0 of sqrt(3x+1-1)
\lim\:_{x\to\:0}(\sqrt{3x+1-1})
limit as x approaches infinity of x+4/x
\lim\:_{x\to\:\infty\:}(x+\frac{4}{x})
limit as x approaches e of ln^2(2x-e)
\lim\:_{x\to\:e}(\ln^{2}(2x-e))
limit as x approaches infinity of Inx
\lim\:_{x\to\:\infty\:}(Inx)
limit as x approaches 4+of sec((pix)/8)
\lim\:_{x\to\:4+}(\sec(\frac{πx}{8}))
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 infinity of 4^{2x}
\lim\:_{x\to\:\infty\:}(4^{2x})
limit as x approaches infinity of 5(x)
\lim\:_{x\to\:\infty\:}(5(x))
limit as x approaches 0 of (1+(1/x))^x
\lim\:_{x\to\:0}((1+(\frac{1}{x}))^{x})
limit as x approaches 1 of x^{2/(x-1)}
\lim\:_{x\to\:1}(x^{\frac{2}{x-1}})
limit as x approaches 0-of e^{-1/(x^2)}
\lim\:_{x\to\:0-}(e^{-\frac{1}{x^{2}}})
limit as x approaches-4 of 1/((x+4)^2)
\lim\:_{x\to\:-4}(\frac{1}{(x+4)^{2}})
limit as x approaches 0+of x^{x^x}-1
\lim\:_{x\to\:0+}(x^{x^{x}}-1)
limit as x approaches pi/2 of (2x-pi)tan(x)
\lim\:_{x\to\:\frac{π}{2}}((2x-π)\tan(x))
limit as x approaches 1+of tan(x-1)
\lim\:_{x\to\:1+}(\tan(x-1))
limit as x approaches 4 of (2x-4)/(x-1)
\lim\:_{x\to\:4}(\frac{2x-4}{x-1})
limit as x approaches-infinity of-(x)^2
\lim\:_{x\to\:-\infty\:}(-(x)^{2})
limit as x approaches 3-of x/(9-x^2)
\lim\:_{x\to\:3-}(\frac{x}{9-x^{2}})
limit as x approaches 1-of ln(1-x^2)
\lim\:_{x\to\:1-}(\ln(1-x^{2}))
limit as x approaches pi of 2^{cos(x)}
\lim\:_{x\to\:π}(2^{\cos(x)})
limit as x approaches 5-of (x-1)/(2x-10)
\lim\:_{x\to\:5-}(\frac{x-1}{2x-10})
limit as x approaches 1 of (x-1)/(1-1/x)
\lim\:_{x\to\:1}(\frac{x-1}{1-\frac{1}{x}})
limit as x approaches 0 of x-e^x+1
\lim\:_{x\to\:0}(x-e^{x}+1)
limit as x approaches-2 of 1/(4-x^2)
\lim\:_{x\to\:-2}(\frac{1}{4-x^{2}})
limit as x approaches 4 of (3x^2-17x+20)/(4x^2-25+36)
\lim\:_{x\to\:4}(\frac{3x^{2}-17x+20}{4x^{2}-25+36})
limit as x approaches 0+of (e^{-x})/x
\lim\:_{x\to\:0+}(\frac{e^{-x}}{x})
limit as x approaches infinity of (1.5x)/(3x^2)
\lim\:_{x\to\:\infty\:}(\frac{1.5x}{3x^{2}})
limit as x approaches 3 of 4x-7
\lim\:_{x\to\:3}(4x-7)
limit as x approaches 3 of 4x-1
\lim\:_{x\to\:3}(4x-1)
limit as x approaches infinity of 4xe^x
\lim\:_{x\to\:\infty\:}(4xe^{x})
limit as x approaches 0-of [x]
\lim\:_{x\to\:0-}([x])
limit as x approaches 2 of (x-2)/(x^2+2)
\lim\:_{x\to\:2}(\frac{x-2}{x^{2}+2})
limit as x approaches 3 of x/(x+3)
\lim\:_{x\to\:3}(\frac{x}{x+3})
limit as x approaches-8 of f(x)
\lim\:_{x\to\:-8}(f(x))
limit as x approaches 0+of 2ln(x)
\lim\:_{x\to\:0+}(2\ln(x))
limit as x approaches 1 of (x+1)/(x+1)
\lim\:_{x\to\:1}(\frac{x+1}{x+1})
limit as x approaches 0-of (x^4-1)/(x^4)
\lim\:_{x\to\:0-}(\frac{x^{4}-1}{x^{4}})
limit as x approaches 0 of e^{(x-1)/x}
\lim\:_{x\to\:0}(e^{\frac{x-1}{x}})
limit as x approaches 0 of (2x)/(x^2+x)
\lim\:_{x\to\:0}(\frac{2x}{x^{2}+x})
limit as x approaches infinity of-x^2e^x
\lim\:_{x\to\:\infty\:}(-x^{2}e^{x})
limit as x approaches 2 of (1-4x)/(x+3)
\lim\:_{x\to\:2}(\frac{1-4x}{x+3})
limit as h approaches 0 of (ln(2e+h)-ln(2e))/h
\lim\:_{h\to\:0}(\frac{\ln(2e+h)-\ln(2e)}{h})
limit as x approaches 0 of (e^x-cos(x))/(ln(1+x))
\lim\:_{x\to\:0}(\frac{e^{x}-\cos(x)}{\ln(1+x)})
limit as x approaches 0 of (7x-1)/(5x)
\lim\:_{x\to\:0}(\frac{7x-1}{5x})
limit as x approaches 1 of 2x-4
\lim\:_{x\to\:1}(2x-4)
limit as x approaches 0 of (x^2-x)/(|x|)
\lim\:_{x\to\:0}(\frac{x^{2}-x}{\left|x\right|})
limit as x approaches 0+of 1/(tan(x))
\lim\:_{x\to\:0+}(\frac{1}{\tan(x)})
limit as x approaches 4-of x-2
\lim\:_{x\to\:4-}(x-2)
limit as x approaches infinity of 2/(2x)
\lim\:_{x\to\:\infty\:}(\frac{2}{2x})
limit as x approaches infinity of 1/x*x
\lim\:_{x\to\:\infty\:}(\frac{1}{x}\cdot\:x)
limit as x approaches 0 of ((cos(x)-cos(3x)))/(x^2)
\lim\:_{x\to\:0}(\frac{(\cos(x)-\cos(3x))}{x^{2}})
limit as x approaches 1+of ln(x)*ln(x-1)
\lim\:_{x\to\:1+}(\ln(x)\cdot\:\ln(x-1))
limit as x approaches infinity of x(e^{1/x-1})
\lim\:_{x\to\:\infty\:}(x(e^{\frac{1}{x}-1}))
limit as x approaches 1 of sin(x-1)
\lim\:_{x\to\:1}(\sin(x-1))
limit as x approaches 4 of 3x+2
\lim\:_{x\to\:4}(3x+2)
limit as x approaches 0 of (x)^{(x^2)}
\lim\:_{x\to\:0}((x)^{(x^{2})})
limit as x approaches infinity of (1-2/x)^{x/2}
\lim\:_{x\to\:\infty\:}((1-\frac{2}{x})^{\frac{x}{2}})
limit as x approaches 2+of 1/(sqrt(x-2))
\lim\:_{x\to\:2+}(\frac{1}{\sqrt{x-2}})
limit as u approaches 0 of csc(u)-cot(u)
\lim\:_{u\to\:0}(\csc(u)-\cot(u))
limit as x approaches 1 of (x^2)/(1-x)
\lim\:_{x\to\:1}(\frac{x^{2}}{1-x})
limit as x approaches 1+of e^{1/(1-x)}
\lim\:_{x\to\:1+}(e^{\frac{1}{1-x}})
limit as x approaches-1+of 1/(1-x^2)
\lim\:_{x\to\:-1+}(\frac{1}{1-x^{2}})
limit as x approaches 63 of (sqrt(x+1)-8)/(x-63)
\lim\:_{x\to\:63}(\frac{\sqrt{x+1}-8}{x-63})
limit as x approaches 1+of 1/(tan(x-1))
\lim\:_{x\to\:1+}(\frac{1}{\tan(x-1)})
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