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Popular Calculus Problems
limit as x approaches 0 of x^2*ln|x|
\lim\:_{x\to\:0}(x^{2}\cdot\:\ln\left|x\right|)
limit as x approaches-3+of h(x)
\lim\:_{x\to\:-3+}(h(x))
limit as x approaches-2+of x-1
\lim\:_{x\to\:-2+}(x-1)
limit as x approaches 0 of x^2-9
\lim\:_{x\to\:0}(x^{2}-9)
limit as t approaches 0 of 0/t
\lim\:_{t\to\:0}(\frac{0}{t})
limit as x approaches 0 of (1+x^2)^{x-2}
\lim\:_{x\to\:0}((1+x^{2})^{x-2})
limit as x approaches 0 of 1+6x
\lim\:_{x\to\:0}(1+6x)
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 (x-y)/(x+y)
\lim\:_{x\to\:(0)}(\frac{x-y}{x+y})
limit as x approaches 0+of sin^x(1/x)
\lim\:_{x\to\:0+}(\sin^{x}(\frac{1}{x}))
limit as θ approaches 0 of cos(θ)
\lim\:_{θ\to\:0}(\cos(θ))
limit as x approaches 0 of x^4sin(5/x)
\lim\:_{x\to\:0}(x^{4}\sin(\frac{5}{x}))
limit as x approaches-3 of x(2x)
\lim\:_{x\to\:-3}(x(2x))
limit as h approaches 0 of ((a^h-1))/h
\lim\:_{h\to\:0}(\frac{(a^{h}-1)}{h})
limit as x approaches 0 of 8/(x^2)
\lim\:_{x\to\:0}(\frac{8}{x^{2}})
limit as x approaches 0 of a^x-1
\lim\:_{x\to\:0}(a^{x}-1)
limit as x approaches 0 of 1/(6x)
\lim\:_{x\to\:0}(\frac{1}{6x})
limit as x approaches infinity of x_{0}
\lim\:_{x\to\:\infty\:}(x_{0})
limit as x approaches e of (x-e)^3+2x-2e
\lim\:_{x\to\:e}((x-e)^{3}+2x-2e)
limit as x approaches-1 of 14/13 x-1
\lim\:_{x\to\:-1}(\frac{14}{13}x-1)
limit as x approaches 0 of (3^{x+y}-2*3^y+3^{y-x})/(3x^2)
\lim\:_{x\to\:0}(\frac{3^{x+y}-2\cdot\:3^{y}+3^{y-x}}{3x^{2}})
limit as w approaches 0 of (e^{2w}-1)/(e^w-1)
\lim\:_{w\to\:0}(\frac{e^{2w}-1}{e^{w}-1})
limit as x approaches x-of-1/(x+1)-1
\lim\:_{x\to\:x-}(-\frac{1}{x+1}-1)
limit as y approaches 1 of sqrt(y^4-5y^3+2y-2)
\lim\:_{y\to\:1}(\sqrt{y^{4}-5y^{3}+2y-2})
limit as x approaches infinity of 10x-6x
\lim\:_{x\to\:\infty\:}(10x-6x)
limit as x approaches 5 of (x+5)/(x-1)
\lim\:_{x\to\:5}(\frac{x+5}{x-1})
limit as x approaches 0+of 4sqrt(x)ln(x)
\lim\:_{x\to\:0+}(4\sqrt{x}\ln(x))
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-1 of x/x
\lim\:_{x\to\:-1}(\frac{x}{x})
limit as x approaches 0 of [ 1/(x^2)-1/(ln(1+x^2))]
\lim\:_{x\to\:0}([\frac{1}{x^{2}}-\frac{1}{\ln(1+x^{2})}])
limit as x approaches 4-of (ax+b)/(x+c)
\lim\:_{x\to\:4-}(\frac{ax+b}{x+c})
limit as x approaches infinity of sqrt(x^2+3x+19)-x
\lim\:_{x\to\:\infty\:}(\sqrt{x^{2}+3x+19}-x)
limit as x approaches 0 of x^3+x^2+3
\lim\:_{x\to\:0}(x^{3}+x^{2}+3)
limit as x approaches pi/6 of sec^2(x)
\lim\:_{x\to\:\frac{π}{6}}(\sec^{2}(x))
limit as x approaches infinity of x*10
\lim\:_{x\to\:\infty\:}(x\cdot\:10)
limit as x approaches 0 of (4x^2+16-20x)/(-40+5x^2-10x)
\lim\:_{x\to\:0}(\frac{4x^{2}+16-20x}{-40+5x^{2}-10x})
limit as x approaches 5-of (3x)/(x^2-5x)
\lim\:_{x\to\:5-}(\frac{3x}{x^{2}-5x})
limit as x approaches 0 of x^4sin(p/x)
\lim\:_{x\to\:0}(x^{4}\sin(\frac{p}{x}))
limit as n approaches infinity of 1+nb
\lim\:_{n\to\:\infty\:}(1+nb)
limit as x approaches 1 of x^4-x^2+x-2
\lim\:_{x\to\:1}(x^{4}-x^{2}+x-2)
limit as x approaches 0 of ((ln(x+1)))/x
\lim\:_{x\to\:0}(\frac{(\ln(x+1))}{x})
limit as x approaches 1 of (Inx)/(x^2-1)
\lim\:_{x\to\:1}(\frac{Inx}{x^{2}-1})
limit as x approaches 5 of x^2-3x+4
\lim\:_{x\to\:5}(x^{2}-3x+4)
limit as x approaches infinity of xe^{3x}
\lim\:_{x\to\:\infty\:}(xe^{3x})
limit as x approaches 0 of (1-cox)/(x^2)
\lim\:_{x\to\:0}(\frac{1-cox}{x^{2}})
limit as x approaches-1 of 8+3x
\lim\:_{x\to\:-1}(8+3x)
limit as x approaches-infinity of (3e^x-4e^{-x})/(2e^x+e^{-x)}
\lim\:_{x\to\:-\infty\:}(\frac{3e^{x}-4e^{-x}}{2e^{x}+e^{-x}})
limit as x approaches 8 of 7x+9
\lim\:_{x\to\:8}(7x+9)
limit as x approaches infinity of (1/3)x
\lim\:_{x\to\:\infty\:}((\frac{1}{3})x)
limit as n approaches infinity of (sqrt(n+2))/(sqrt((n+1)+2))
\lim\:_{n\to\:\infty\:}(\frac{\sqrt{n+2}}{\sqrt{(n+1)+2}})
limit as x approaches-5 of sqrt(x)
\lim\:_{x\to\:-5}(\sqrt{x})
limit as x approaches 6 of (2-sqrt(x-2))/(36-x^2)
\lim\:_{x\to\:6}(\frac{2-\sqrt{x-2}}{36-x^{2}})
limit as x approaches-2 of 2x-4
\lim\:_{x\to\:-2}(2x-4)
limit as x approaches 0 of e^xx
\lim\:_{x\to\:0}(e^{x}x)
limit as x approaches 0+of (x^2+3x+4)/x
\lim\:_{x\to\:0+}(\frac{x^{2}+3x+4}{x})
limit as x approaches-3 of x^3-3x-7
\lim\:_{x\to\:-3}(x^{3}-3x-7)
limit as x approaches 0 of (e^{x^2}-cos(x))/(sin^2(x)+3sin^5(x))
\lim\:_{x\to\:0}(\frac{e^{x^{2}}-\cos(x)}{\sin^{2}(x)+3\sin^{5}(x)})
limit as x approaches-2 of sqrt(3x^2+4)
\lim\:_{x\to\:-2}(\sqrt{3x^{2}+4})
limit as x approaches-1+of 2x+1
\lim\:_{x\to\:-1+}(2x+1)
limit as x approaches 0+of (1+5x)^{2/x}
\lim\:_{x\to\:0+}((1+5x)^{\frac{2}{x}})
limit as x approaches 0 of sin(1/x)x^2
\lim\:_{x\to\:0}(\sin(\frac{1}{x})x^{2})
limit as x approaches 1 of (3x)/(x-1)
\lim\:_{x\to\:1}(\frac{3x}{x-1})
limit as x approaches 1/5 of 2+(5x-1)
\lim\:_{x\to\:\frac{1}{5}}(2+(5x-1))
limit as x approaches infinity of (30)/x
\lim\:_{x\to\:\infty\:}(\frac{30}{x})
limit as x approaches 0-of (x^3+4)/(x^2)
\lim\:_{x\to\:0-}(\frac{x^{3}+4}{x^{2}})
limit as x approaches 0 of (cos(x)-cos(3x))/(x^3)
\lim\:_{x\to\:0}(\frac{\cos(x)-\cos(3x)}{x^{3}})
limit as x approaches 0 of 6sin(x)
\lim\:_{x\to\:0}(6\sin(x))
limit as x approaches 2 of x^5+2x^3-x-8
\lim\:_{x\to\:2}(x^{5}+2x^{3}-x-8)
limit as x approaches 0+of sqrt(x-1)
\lim\:_{x\to\:0+}(\sqrt{x-1})
limit as x approaches 3 of 4x-6
\lim\:_{x\to\:3}(4x-6)
limit as x approaches 0 of cos(-x)
\lim\:_{x\to\:0}(\cos(-x))
limit as x approaches 0+of (ln^2(x))/x
\lim\:_{x\to\:0+}(\frac{\ln^{2}(x)}{x})
limit as x approaches 1000 of 3^{ln(x)}
\lim\:_{x\to\:1000}(3^{\ln(x)})
limit as x approaches 0 of ((19)/(x+20)-19/20)/x
\lim\:_{x\to\:0}(\frac{\frac{19}{x+20}-\frac{19}{20}}{x})
limit as x approaches 1+of (3x+1)/(x-2)
\lim\:_{x\to\:1+}(\frac{3x+1}{x-2})
limit as x approaches 3 of (x^2-8)/(x+2)
\lim\:_{x\to\:3}(\frac{x^{2}-8}{x+2})
limit as x approaches 1 of e^{-x^2}
\lim\:_{x\to\:1}(e^{-x^{2}})
limit as x approaches 1+of-x
\lim\:_{x\to\:1+}(-x)
limit as x approaches pi/2 of (cos^2(x))/((sin(1/2)x-cos(1/2)x)^2)
\lim\:_{x\to\:\frac{π}{2}}(\frac{\cos^{2}(x)}{(\sin(\frac{1}{2})x-\cos(\frac{1}{2})x)^{2}})
limit as x approaches sqrt(2) of 4-x^2
\lim\:_{x\to\:\sqrt{2}}(4-x^{2})
limit as x approaches 0 of 9-x^2
\lim\:_{x\to\:0}(9-x^{2})
limit as x approaches infinity of (3x^6+3x^2+2)/(7x^6+x-1)
\lim\:_{x\to\:\infty\:}(\frac{3x^{6}+3x^{2}+2}{7x^{6}+x-1})
limit as x approaches 6 of ((sin(x)))/(x-3)
\lim\:_{x\to\:6}(\frac{(\sin(x))}{x-3})
limit as x approaches 4 of (3-x)/(x^2-9)
\lim\:_{x\to\:4}(\frac{3-x}{x^{2}-9})
limit as x approaches-2 of ((8x^3-16x^2-64x))/(x^2+2x)
\lim\:_{x\to\:-2}(\frac{(8x^{3}-16x^{2}-64x)}{x^{2}+2x})
limit as x approaches infinity of 10x(ln(x+8)-ln(x))
\lim\:_{x\to\:\infty\:}(10x(\ln(x+8)-\ln(x)))
limit as x approaches 0 of 5/x-5/(e^t-1)
\lim\:_{x\to\:0}(\frac{5}{x}-\frac{5}{e^{t}-1})
limit as x approaches 0 of ((x-tan(3x)))/((x+tan(2x)))
\lim\:_{x\to\:0}(\frac{(x-\tan(3x))}{(x+\tan(2x))})
limit as x approaches-5 of (25-x^2)/(5+x)
\lim\:_{x\to\:-5}(\frac{25-x^{2}}{5+x})
limit as x approaches 4 of ((x-4))/(x+5)
\lim\:_{x\to\:4}(\frac{(x-4)}{x+5})
limit as x approaches 2 of (x(x+3)+1)/(x^2-4x+4)
\lim\:_{x\to\:2}(\frac{x(x+3)+1}{x^{2}-4x+4})
limit as x approaches 1 of (120x^2)/(x^2+4)
\lim\:_{x\to\:1}(\frac{120x^{2}}{x^{2}+4})
limit as x approaches 0+of (6csc(x))/(cot(x))
\lim\:_{x\to\:0+}(\frac{6\csc(x)}{\cot(x)})
limit as x approaches-2 of (4x+7)(5x+9)
\lim\:_{x\to\:-2}((4x+7)(5x+9))
limit as x approaches (2pi)/3 of (cot(x)+(sqrt(3))/3)/(x-(2pi)/3)
\lim\:_{x\to\:\frac{2π}{3}}(\frac{\cot(x)+\frac{\sqrt{3}}{3}}{x-\frac{2π}{3}})
limit as y approaches 2 of ln(sin(pi/y))
\lim\:_{y\to\:2}(\ln(\sin(\frac{π}{y})))
limit as x approaches 0+of 2ln(3x)
\lim\:_{x\to\:0+}(2\ln(3x))
limit as x approaches 1+of x^{4/((x-1))}
\lim\:_{x\to\:1+}(x^{\frac{4}{(x-1)}})
limit as x approaches infinity of 6/4
\lim\:_{x\to\:\infty\:}(\frac{6}{4})
limit as x approaches infinity of-1,x
\lim\:_{x\to\:\infty\:}(-1,x)
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