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Popular Calculus Problems
limit as x approaches 0 of (1/x)sin(1/x)
\lim\:_{x\to\:0}((\frac{1}{x})\sin(\frac{1}{x}))
limit as x approaches 0 of x/([x])
\lim\:_{x\to\:0}(\frac{x}{[x]})
limit as x approaches 0+of 4(cot(x)-1/x)
\lim\:_{x\to\:0+}(4(\cot(x)-\frac{1}{x}))
limit as x approaches 0 of (2x-5x^2)/x
\lim\:_{x\to\:0}(\frac{2x-5x^{2}}{x})
limit as t approaches 12+of f(t)
\lim\:_{t\to\:12+}(f(t))
limit as x approaches-2 of 6sqrt(2)x^5
\lim\:_{x\to\:-2}(6\sqrt{2}x^{5})
limit as x approaches-1 of 2x^3+3x^2-5
\lim\:_{x\to\:-1}(2x^{3}+3x^{2}-5)
limit as x approaches-2 of 2x^2+5x-2
\lim\:_{x\to\:-2}(2x^{2}+5x-2)
limit as x approaches 2 of (x^3+4x^2)/(x^2+2x-8)
\lim\:_{x\to\:2}(\frac{x^{3}+4x^{2}}{x^{2}+2x-8})
limit as h approaches 0 of (4-h)/(2+7h)
\lim\:_{h\to\:0}(\frac{4-h}{2+7h})
limit as x approaches 1-of (x^4-1)/(x-1)
\lim\:_{x\to\:1-}(\frac{x^{4}-1}{x-1})
limit as x approaches-3 of (5x-1)(2x+3)
\lim\:_{x\to\:-3}((5x-1)(2x+3))
limit as x approaches 2+of e^{5/(2-x)}
\lim\:_{x\to\:2+}(e^{\frac{5}{2-x}})
limit as x approaches 0 of xsin(1/(x^3))
\lim\:_{x\to\:0}(x\sin(\frac{1}{x^{3}}))
limit as x approaches-infinity of xe^x+1
\lim\:_{x\to\:-\infty\:}(xe^{x}+1)
limit as x approaches 0 of (a^x-1)^x
\lim\:_{x\to\:0}((a^{x}-1)^{x})
limit as x approaches 6 of 10
\lim\:_{x\to\:6}(10)
limit as x approaches-2 of (x+1)/(6x-3)
\lim\:_{x\to\:-2}(\frac{x+1}{6x-3})
limit as x approaches 0 of (2-x)/(1+x)
\lim\:_{x\to\:0}(\frac{2-x}{1+x})
limit as x approaches-4 of-6x^2+8x-3
\lim\:_{x\to\:-4}(-6x^{2}+8x-3)
limit as y approaches 3 of y^3-2y+7
\lim\:_{y\to\:3}(y^{3}-2y+7)
limit as x approaches 0 of (2x^2)/x
\lim\:_{x\to\:0}(\frac{2x^{2}}{x})
limit as x approaches-4 of sin(2pix)
\lim\:_{x\to\:-4}(\sin(2πx))
limit as x approaches 9 of 300
\lim\:_{x\to\:9}(300)
limit as x approaches 0+of log_{10}(x)
\lim\:_{x\to\:0+}(\log_{10}(x))
limit as x approaches 1 of sqrt(x-5)
\lim\:_{x\to\:1}(\sqrt{x-5})
limit as x approaches-1 of |x+2|
\lim\:_{x\to\:-1}(\left|x+2\right|)
limit as x approaches 1 of (3x-3)/(1-x)
\lim\:_{x\to\:1}(\frac{3x-3}{1-x})
limit as x approaches-5 of x/(|x|)
\lim\:_{x\to\:-5}(\frac{x}{\left|x\right|})
limit as x approaches 3 of (3^2-9)/(3-3)
\lim\:_{x\to\:3}(\frac{3^{2}-9}{3-3})
limit as x approaches-2 of (x^2-1)/3
\lim\:_{x\to\:-2}(\frac{x^{2}-1}{3})
limit as x approaches 1 of x^3-3x^2-2x+1
\lim\:_{x\to\:1}(x^{3}-3x^{2}-2x+1)
limit as x approaches 0 of (4x-x^2)/(2x)
\lim\:_{x\to\:0}(\frac{4x-x^{2}}{2x})
limit as x approaches 0 of (e^{-6x}-1)/x
\lim\:_{x\to\:0}(\frac{e^{-6x}-1}{x})
limit as x approaches 0+of [ln(x)]^x
\lim\:_{x\to\:0+}([\ln(x)]^{x})
limit as x approaches infinity+of xb
\lim\:_{x\to\:\infty\:+}(xb)
limit as x approaches 3-of 3
\lim\:_{x\to\:3-}(3)
limit as x approaches 4 of 1/(x-2)
\lim\:_{x\to\:4}(\frac{1}{x-2})
limit as x approaches 0 of e^{arctan(x)}
\lim\:_{x\to\:0}(e^{\arctan(x)})
limit as x approaches 0-of (4x)/(2x^2+e)
\lim\:_{x\to\:0-}(\frac{4x}{2x^{2}+e})
limit as x approaches 1+of 3x-1
\lim\:_{x\to\:1+}(3x-1)
limit as x approaches 9+of 8/(x+9)
\lim\:_{x\to\:9+}(\frac{8}{x+9})
limit as x approaches 0 of x^3cos(3/x)
\lim\:_{x\to\:0}(x^{3}\cos(\frac{3}{x}))
limit as x approaches-5 of 2x^2-50
\lim\:_{x\to\:-5}(2x^{2}-50)
limit as x approaches-infinity of-3x^5
\lim\:_{x\to\:-\infty\:}(-3x^{5})
limit as h approaches+0 of (ln(e+h)-1)/h
\lim\:_{h\to\:+0}(\frac{\ln(e+h)-1}{h})
limit as x approaches 2 of 1/x-1/(x^3)
\lim\:_{x\to\:2}(\frac{1}{x}-\frac{1}{x^{3}})
limit as z approaches 0 of z/(sin(z))
\lim\:_{z\to\:0}(\frac{z}{\sin(z)})
limit as x approaches-2 of (3x+8)^{x+1}
\lim\:_{x\to\:-2}((3x+8)^{x+1})
limit as x approaches 0 of x/(sqrt(|x|))
\lim\:_{x\to\:0}(\frac{x}{\sqrt{\left|x\right|}})
limit as a approaches 0 of a*sin(x+pi/a)
\lim\:_{a\to\:0}(a\cdot\:\sin(x+\frac{π}{a}))
limit as x approaches-2 of x^2+2x
\lim\:_{x\to\:-2}(x^{2}+2x)
limit as x approaches 0 of arctan(2x)
\lim\:_{x\to\:0}(\arctan(2x))
limit as s approaches 1 of (s-1)/(|s-1|)
\lim\:_{s\to\:1}(\frac{s-1}{\left|s-1\right|})
limit as x approaches 0 of 2x+5
\lim\:_{x\to\:0}(2x+5)
limit as x approaches 1 of log_{x}(x)
\lim\:_{x\to\:1}(\log_{x}(x))
limit as x approaches 0-of coth(1/x)
\lim\:_{x\to\:0-}(\coth(\frac{1}{x}))
limit as x approaches 1 of x+3y
\lim\:_{x\to\:1}(x+3y)
limit as x approaches 3 of sqrt((3x-5))
\lim\:_{x\to\:3}(\sqrt{(3x-5)})
limit as t approaches 0 of (sin^2(t))/t
\lim\:_{t\to\:0}(\frac{\sin^{2}(t)}{t})
limit as x approaches-1 of 8x^2+7x-3
\lim\:_{x\to\:-1}(8x^{2}+7x-3)
limit as x approaches 2 of ((x^3-3x^2+4))/(x^3-7x^2+16x-12)
\lim\:_{x\to\:2}(\frac{(x^{3}-3x^{2}+4)}{x^{3}-7x^{2}+16x-12})
limit as x approaches-infinity of e^{xt}
\lim\:_{x\to\:-\infty\:}(e^{xt})
limit as x approaches infinity of 3+6/x
\lim\:_{x\to\:\infty\:}(3+\frac{6}{x})
limit as b approaches infinity of sin(b)
\lim\:_{b\to\:\infty\:}(\sin(b))
limit as x approaches-2 of 2-x
\lim\:_{x\to\:-2}(2-x)
limit as x approaches infinity of (2x-4)/(7x+6)
\lim\:_{x\to\:\infty\:}(\frac{2x-4}{7x+6})
limit as x approaches 1 of 1/(x^{1-x)}
\lim\:_{x\to\:1}(\frac{1}{x^{1-x}})
limit as x approaches 0 of (sin(16x))/x
\lim\:_{x\to\:0}(\frac{\sin(16x)}{x})
limit as x approaches 0 of 6^x-3^x
\lim\:_{x\to\:0}(6^{x}-3^{x})
limit as x approaches-infinity of b^x
\lim\:_{x\to\:-\infty\:}(b^{x})
limit as x approaches 1+of x^{1/(ln(x))}
\lim\:_{x\to\:1+}(x^{\frac{1}{\ln(x)}})
limit as x approaches 0 of sqrt(sin(x))
\lim\:_{x\to\:0}(\sqrt{\sin(x)})
limit as x approaches 1+of 1+1/((x+1))
\lim\:_{x\to\:1+}(1+\frac{1}{(x+1)})
limit as z approaches 0 of (cos(z))^{1/(z^2)}
\lim\:_{z\to\:0}((\cos(z))^{\frac{1}{z^{2}}})
limit as x approaches infinity of ((2sin(3x)))/(5x)
\lim\:_{x\to\:\infty\:}(\frac{(2\sin(3x))}{5x})
limit as x approaches 0+of x/(1+e^{1/x)}
\lim\:_{x\to\:0+}(\frac{x}{1+e^{\frac{1}{x}}})
limit as x approaches-3 of x^2+5x+6
\lim\:_{x\to\:-3}(x^{2}+5x+6)
limit as x approaches infinity of-x^0
\lim\:_{x\to\:\infty\:}(-x^{0})
limit as x approaches 0 of e^{1-x}
\lim\:_{x\to\:0}(e^{1-x})
limit as x approaches infinity of-2x+5
\lim\:_{x\to\:\infty\:}(-2x+5)
limit as x approaches 4 of log_{x}(x)
\lim\:_{x\to\:4}(\log_{x}(x))
limit as x approaches 0 of (x^3-2x)/(2x)
\lim\:_{x\to\:0}(\frac{x^{3}-2x}{2x})
limit as n approaches infinity of k^n
\lim\:_{n\to\:\infty\:}(k^{n})
limit as x approaches 0+of 4(1/x-cot(x))
\lim\:_{x\to\:0+}(4(\frac{1}{x}-\cot(x)))
limit as x approaches c of 4g(x)-f(x)
\lim\:_{x\to\:c}(4g(x)-f(x))
limit as x approaches 0 of (1+ax)^{3/x}
\lim\:_{x\to\:0}((1+ax)^{\frac{3}{x}})
limit as x approaches 0+of (e+1/x)^x
\lim\:_{x\to\:0+}((e+\frac{1}{x})^{x})
limit as x approaches 1 of (x-1)/(x+2)
\lim\:_{x\to\:1}(\frac{x-1}{x+2})
limit as x approaches-pi of cos(x)
\lim\:_{x\to\:-π}(\cos(x))
limit as x approaches-5 of cos(-3pix)
\lim\:_{x\to\:-5}(\cos(-3πx))
limit as x approaches pi of ln(sin(x/2))
\lim\:_{x\to\:π}(\ln(\sin(\frac{x}{2})))
limit as x approaches pi/2 of 1+cos(x)
\lim\:_{x\to\:\frac{π}{2}}(1+\cos(x))
limit as x approaches 1 of e^{x/(x-1)}
\lim\:_{x\to\:1}(e^{\frac{x}{x-1}})
limit as x approaches 0 of x^2+7x+5
\lim\:_{x\to\:0}(x^{2}+7x+5)
limit as x approaches infinity of x-16/3
\lim\:_{x\to\:\infty\:}(x-\frac{16}{3})
limit as x approaches 0+of (1-6x)^{5/x}
\lim\:_{x\to\:0+}((1-6x)^{\frac{5}{x}})
limit as x approaches infinity of x^7-7x
\lim\:_{x\to\:\infty\:}(x^{7}-7x)
limit as x approaches 0+of ln(1+x)
\lim\:_{x\to\:0+}(\ln(1+x))
limit as x approaches 0 of x^8cos(pi/x)
\lim\:_{x\to\:0}(x^{8}\cos(\frac{π}{x}))
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