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Popular Calculus Problems
limit as x approaches 0 of x^4+3x^3-x
\lim\:_{x\to\:0}(x^{4}+3x^{3}-x)
limit as x approaches 0+of x*sin(ln(x))
\lim\:_{x\to\:0+}(x\cdot\:\sin(\ln(x)))
limit as x approaches 2 of 1/x-1/2
\lim\:_{x\to\:2}(\frac{1}{x}-\frac{1}{2})
limit as x approaches 1 of (x^x-1)/(x*ln(x))
\lim\:_{x\to\:1}(\frac{x^{x}-1}{x\cdot\:\ln(x)})
limit as x approaches infinity of sin(2)
\lim\:_{x\to\:\infty\:}(\sin(2))
limit as x approaches 1 of xln(sin(x/2))
\lim\:_{x\to\:1}(x\ln(\sin(\frac{x}{2})))
limit as x approaches 3 of x^2-6x+9
\lim\:_{x\to\:3}(x^{2}-6x+9)
limit as x approaches 1-of (2x+1)c-x^2-5
\lim\:_{x\to\:1-}((2x+1)c-x^{2}-5)
limit as x approaches-1 of (x+1)/(x^2)
\lim\:_{x\to\:-1}(\frac{x+1}{x^{2}})
limit as x approaches 0 of ((7^x-4^x))/x
\lim\:_{x\to\:0}(\frac{(7^{x}-4^{x})}{x})
limit as x approaches-1 of 2x-5
\lim\:_{x\to\:-1}(2x-5)
limit as t approaches 4+of t^2+5t-35
\lim\:_{t\to\:4+}(t^{2}+5t-35)
limit as x approaches 2 of (6x+3)^2
\lim\:_{x\to\:2}((6x+3)^{2})
limit as x approaches 3 of (5-4x)^2
\lim\:_{x\to\:3}((5-4x)^{2})
limit as z approaches 9 of (9z-z^2)/(sqrt(z)-3)
\lim\:_{z\to\:9}(\frac{9z-z^{2}}{\sqrt{z}-3})
limit as x approaches 0 of ln(9)
\lim\:_{x\to\:0}(\ln(9))
limit as x approaches 2 of 4x+5
\lim\:_{x\to\:2}(4x+5)
limit as x approaches-3 of x-4
\lim\:_{x\to\:-3}(x-4)
limit as x approaches 0+of x*ln(2x)
\lim\:_{x\to\:0+}(x\cdot\:\ln(2x))
limit as x approaches 0 of (cot(x))^2
\lim\:_{x\to\:0}((\cot(x))^{2})
limit as x approaches 1 of 1-x+[x]-[1-x]
\lim\:_{x\to\:1}(1-x+[x]-[1-x])
limit as x approaches 0 of 1/(e^{1/x)-1}
\lim\:_{x\to\:0}(\frac{1}{e^{\frac{1}{x}}-1})
limit as x approaches 2 of 2x^3+x-3
\lim\:_{x\to\:2}(2x^{3}+x-3)
limit as x approaches 4 of 4x^3-3x-5
\lim\:_{x\to\:4}(4x^{3}-3x-5)
limit as x approaches 0 of x/(e^{2x)-1}
\lim\:_{x\to\:0}(\frac{x}{e^{2x}-1})
limit as x approaches 5+of x/(x^2-25)
\lim\:_{x\to\:5+}(\frac{x}{x^{2}-25})
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 xln|6x|
\lim\:_{x\to\:0}(x\ln\left|6x\right|)
limit as x approaches 1+of (x-1)ln(x-1)
\lim\:_{x\to\:1+}((x-1)\ln(x-1))
limit as x approaches infinity of \sqrt[3]{27+6/x}-3
\lim\:_{x\to\:\infty\:}(\sqrt[3]{27+\frac{6}{x}}-3)
limit as x approaches infinity of (cosh(2x))/(e^{2x)}
\lim\:_{x\to\:\infty\:}(\frac{\cosh(2x)}{e^{2x}})
limit as x approaches 0 of (cos(3x)-cos(4x))/(x^2)
\lim\:_{x\to\:0}(\frac{\cos(3x)-\cos(4x)}{x^{2}})
limit as x approaches 0 of arctan(3/x)
\lim\:_{x\to\:0}(\arctan(\frac{3}{x}))
limit as x approaches 0-of x^3sin(pi/x)
\lim\:_{x\to\:0-}(x^{3}\sin(\frac{π}{x}))
limit as b approaches 1-of-ln(1-b)
\lim\:_{b\to\:1-}(-\ln(1-b))
limit as x approaches a of 1/(f(x))
\lim\:_{x\to\:a}(\frac{1}{f(x)})
limit as x approaches-2 of 2x-1
\lim\:_{x\to\:-2}(2x-1)
limit as x approaches 3-of x+6
\lim\:_{x\to\:3-}(x+6)
limit as x approaches 1+of x^{5/(x-1)}
\lim\:_{x\to\:1+}(x^{\frac{5}{x-1}})
limit as x approaches 0+of (1+8x)^{1/x}
\lim\:_{x\to\:0+}((1+8x)^{\frac{1}{x}})
limit as x approaches 7 of (4x)/(x-7)
\lim\:_{x\to\:7}(\frac{4x}{x-7})
limit as x approaches-2+of tan((pix)/4)
\lim\:_{x\to\:-2+}(\tan(\frac{πx}{4}))
limit as x approaches-1 of 2-x^2
\lim\:_{x\to\:-1}(2-x^{2})
limit as x approaches 0+of 1^{1/x}
\lim\:_{x\to\:0+}(1^{\frac{1}{x}})
limit as x approaches 0 of-1/(2x^2)
\lim\:_{x\to\:0}(-\frac{1}{2x^{2}})
limit as x approaches 0 of (7x^0e^{x^2})/(4x^2+2*0^2)
\lim\:_{x\to\:0}(\frac{7x^{0}e^{x^{2}}}{4x^{2}+2\cdot\:0^{2}})
limit as x approaches 0 of x^0sin(1/x)
\lim\:_{x\to\:0}(x^{0}\sin(\frac{1}{x}))
limit as x approaches 1-of 3/(1-x)
\lim\:_{x\to\:1-}(\frac{3}{1-x})
limit as x approaches 0 of (cos(20x))/x
\lim\:_{x\to\:0}(\frac{\cos(20x)}{x})
limit as x approaches 0 of 1-2x
\lim\:_{x\to\:0}(1-2x)
limit as x approaches 2 of sqrt(2x-5)
\lim\:_{x\to\:2}(\sqrt{2x-5})
limit as x approaches-2+of x+2
\lim\:_{x\to\:-2+}(x+2)
limit as x approaches 0 of (1-cos(2x))/(10x^2)
\lim\:_{x\to\:0}(\frac{1-\cos(2x)}{10x^{2}})
limit as x approaches 0+of 304
\lim\:_{x\to\:0+}(304)
limit as x approaches-4 of (6x-2)(4x-5)
\lim\:_{x\to\:-4}((6x-2)(4x-5))
limit as x approaches 0+of x*ln(x^2)
\lim\:_{x\to\:0+}(x\cdot\:\ln(x^{2}))
limit as x approaches 4 of-12x^2+72x-60
\lim\:_{x\to\:4}(-12x^{2}+72x-60)
limit as n approaches 0 of n/(n+1)
\lim\:_{n\to\:0}(\frac{n}{n+1})
limit as x approaches infinity of (cos(24x))/(24x)
\lim\:_{x\to\:\infty\:}(\frac{\cos(24x)}{24x})
limit as x approaches-1 of sqrt(x-1)
\lim\:_{x\to\:-1}(\sqrt{x-1})
limit as x approaches 1 of x^4-5x^3-x-1
\lim\:_{x\to\:1}(x^{4}-5x^{3}-x-1)
limit as x approaches-1 of (1-x^3)/(x-1)
\lim\:_{x\to\:-1}(\frac{1-x^{3}}{x-1})
limit as x approaches-infinity of 6x
\lim\:_{x\to\:-\infty\:}(6x)
limit as x approaches 0+of (ln(7x))/x
\lim\:_{x\to\:0+}(\frac{\ln(7x)}{x})
limit as x approaches-3+of x+2
\lim\:_{x\to\:-3+}(x+2)
limit as x approaches 1/2 of x^2+4x+3
\lim\:_{x\to\:\frac{1}{2}}(x^{2}+4x+3)
limit as x approaches 2 of (x^2-4)/(2+x)
\lim\:_{x\to\:2}(\frac{x^{2}-4}{2+x})
limit as x approaches 2 of (1-x)/(2-x)
\lim\:_{x\to\:2}(\frac{1-x}{2-x})
limit as x approaches 3-of x/(3-x)
\lim\:_{x\to\:3-}(\frac{x}{3-x})
limit as h approaches 0 of ((sin(2(x+h))-sin(2x)))/h
\lim\:_{h\to\:0}(\frac{(\sin(2(x+h))-\sin(2x))}{h})
limit as x approaches pi-of tan(x/2)
\lim\:_{x\to\:π-}(\tan(\frac{x}{2}))
limit as x approaches pi of xcos(x)
\lim\:_{x\to\:π}(x\cos(x))
limit as x approaches 4-of (4-x)/(|4-x|)
\lim\:_{x\to\:4-}(\frac{4-x}{\left|4-x\right|})
limit as x approaches 0 of e^{1/x}-ln(x)
\lim\:_{x\to\:0}(e^{\frac{1}{x}}-\ln(x))
limit as x approaches 0+of x-2
\lim\:_{x\to\:0+}(x-2)
limit as x approaches 0+of x+3
\lim\:_{x\to\:0+}(x+3)
limit as x approaches-4 of (2x^3+5x)^2
\lim\:_{x\to\:-4}((2x^{3}+5x)^{2})
limit as x approaches-3 of x^2+1
\lim\:_{x\to\:-3}(x^{2}+1)
limit as x approaches infinity of-150
\lim\:_{x\to\:\infty\:}(-150)
limit as x approaches 2 of 5/(x^2-4)
\lim\:_{x\to\:2}(\frac{5}{x^{2}-4})
limit as x approaches 0 of x^8e^{-x^7}
\lim\:_{x\to\:0}(x^{8}e^{-x^{7}})
limit as x approaches 2 of x^2ln(2)
\lim\:_{x\to\:2}(x^{2}\ln(2))
limit as x approaches-8 of 4-3x
\lim\:_{x\to\:-8}(4-3x)
limit as x approaches 1+of g(x)
\lim\:_{x\to\:1+}(g(x))
limit as x approaches-4 of (2x)/(6x-10)
\lim\:_{x\to\:-4}(\frac{2x}{6x-10})
limit as x approaches 1 of (x^3-1)^{2/3}
\lim\:_{x\to\:1}((x^{3}-1)^{\frac{2}{3}})
limit as x approaches 1+of 1/(x^2-6x+5)
\lim\:_{x\to\:1+}(\frac{1}{x^{2}-6x+5})
limit as t approaches-1 of (t+1)/(|t+1|)
\lim\:_{t\to\:-1}(\frac{t+1}{\left|t+1\right|})
limit as x approaches 0 of (5x+sin(x))/x
\lim\:_{x\to\:0}(\frac{5x+\sin(x)}{x})
limit as x approaches 0 of x^2+4x
\lim\:_{x\to\:0}(x^{2}+4x)
limit as x approaches 0 of ((1-cos(4x)))/(5x^2)
\lim\:_{x\to\:0}(\frac{(1-\cos(4x))}{5x^{2}})
limit as x approaches 0 of xln(x/(x+1))
\lim\:_{x\to\:0}(x\ln(\frac{x}{x+1}))
limit as x approaches 0 of (4x^2-x)/(2x)
\lim\:_{x\to\:0}(\frac{4x^{2}-x}{2x})
limit as x approaches 4 of x/x
\lim\:_{x\to\:4}(\frac{x}{x})
limit as x approaches (2pi)/3-of-csc(2x)
\lim\:_{x\to\:\frac{2π}{3}-}(-\csc(2x))
limit as x approaches 0 of (10^x-4^x)/x
\lim\:_{x\to\:0}(\frac{10^{x}-4^{x}}{x})
limit as x approaches-1 of x^2+7x+2
\lim\:_{x\to\:-1}(x^{2}+7x+2)
limit as x approaches 3+of (x-3)/(9-x^2)
\lim\:_{x\to\:3+}(\frac{x-3}{9-x^{2}})
limit as x approaches infinity of (ln(2x))/(sqrt(x))
\lim\:_{x\to\:\infty\:}(\frac{\ln(2x)}{\sqrt{x}})
limit as x approaches 1 of 2x+5
\lim\:_{x\to\:1}(2x+5)
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