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Popular Calculus Problems
limit as x approaches 3 of sqrt(4x+5)
\lim\:_{x\to\:3}(\sqrt{4x+5})
limit as x approaches pi/4 of (ln(tan(x)))/(1-cot(x))
\lim\:_{x\to\:\frac{π}{4}}(\frac{\ln(\tan(x))}{1-\cot(x)})
limit as x approaches 1/3 of sqrt(6x-1)
\lim\:_{x\to\:\frac{1}{3}}(\sqrt{6x-1})
limit as x approaches 0 of x(ln(x)-1)
\lim\:_{x\to\:0}(x(\ln(x)-1))
limit as x approaches 0 of (1+2/x)^{3x}
\lim\:_{x\to\:0}((1+\frac{2}{x})^{3x})
limit as x approaches 8-of 2^x
\lim\:_{x\to\:8-}(2^{x})
limit as x approaches infinity of 1/x-x
\lim\:_{x\to\:\infty\:}(\frac{1}{x}-x)
limit as x approaches 0+of 1/(2sqrt(x))
\lim\:_{x\to\:0+}(\frac{1}{2\sqrt{x}})
limit as x approaches-1 of 1/(ln(x))
\lim\:_{x\to\:-1}(\frac{1}{\ln(x)})
limit as x approaches 2 of (8/x-4)/(x-2)
\lim\:_{x\to\:2}(\frac{\frac{8}{x}-4}{x-2})
limit as x approaches 1 of x^2-3x
\lim\:_{x\to\:1}(x^{2}-3x)
limit as x approaches 0 of x^{pix}
\lim\:_{x\to\:0}(x^{πx})
limit as x approaches infinity of \sqrt[x]{6^x+7^x+8^x}
\lim\:_{x\to\:\infty\:}(\sqrt[x]{6^{x}+7^{x}+8^{x}})
limit as x approaches 1 of x^2-17
\lim\:_{x\to\:1}(x^{2}-17)
limit as t approaches 0 of (e^{5t}-1)/(sin(t))
\lim\:_{t\to\:0}(\frac{e^{5t}-1}{\sin(t)})
limit as x approaches infinity of 12x^3
\lim\:_{x\to\:\infty\:}(12x^{3})
limit as x approaches 0 of (1+4/(x^5))^x
\lim\:_{x\to\:0}((1+\frac{4}{x^{5}})^{x})
limit as x approaches 0 of x^2+2x-1
\lim\:_{x\to\:0}(x^{2}+2x-1)
limit as x approaches-1-of (-1)/(x+1)
\lim\:_{x\to\:-1-}(\frac{-1}{x+1})
limit as x approaches a of x^2-ax
\lim\:_{x\to\:a}(x^{2}-ax)
limit as x approaches 2 of 9-2x
\lim\:_{x\to\:2}(9-2x)
limit as x approaches 0+of (11)/(x^2)
\lim\:_{x\to\:0+}(\frac{11}{x^{2}})
limit as x approaches 4 of 2x-8
\lim\:_{x\to\:4}(2x-8)
limit as x approaches 0-of 1/x sin(x)
\lim\:_{x\to\:0-}(\frac{1}{x}\sin(x))
limit as x approaches infinity of 2^x-4
\lim\:_{x\to\:\infty\:}(2^{x}-4)
limit as x approaches 0 of 1^{1/(x^2)}
\lim\:_{x\to\:0}(1^{\frac{1}{x^{2}}})
limit as x approaches 0+of (sqrt(x+1))/x
\lim\:_{x\to\:0+}(\frac{\sqrt{x+1}}{x})
limit as y approaches-2 of g(y)
\lim\:_{y\to\:-2}(g(y))
limit as x approaches 0 of e^xcos(4x)
\lim\:_{x\to\:0}(e^{x}\cos(4x))
limit as x approaches 5-of sqrt(x-5)
\lim\:_{x\to\:5-}(\sqrt{x-5})
limit as x approaches 0 of 6/x+6/(x^2-x)
\lim\:_{x\to\:0}(\frac{6}{x}+\frac{6}{x^{2}-x})
limit as x approaches-0 of xln(x)
\lim\:_{x\to\:-0}(x\ln(x))
limit as x approaches-2 of (x+2)/(x-3)
\lim\:_{x\to\:-2}(\frac{x+2}{x-3})
limit as x approaches 1 of (x-2)/x
\lim\:_{x\to\:1}(\frac{x-2}{x})
limit as x approaches 3 of x^3-3x^2+3x-1
\lim\:_{x\to\:3}(x^{3}-3x^{2}+3x-1)
limit as x approaches 2-of x/(4-x^2)
\lim\:_{x\to\:2-}(\frac{x}{4-x^{2}})
limit as x approaches infinity of-cot(x)
\lim\:_{x\to\:\infty\:}(-\cot(x))
limit as x approaches 9 of sqrt(x-3)
\lim\:_{x\to\:9}(\sqrt{x-3})
limit as x approaches 0 of (4x)/(cos(x))
\lim\:_{x\to\:0}(\frac{4x}{\cos(x)})
limit as x approaches 0 of-f(x)
\lim\:_{x\to\:0}(-f(x))
limit as x approaches 2-of (x-4)/(x-2)
\lim\:_{x\to\:2-}(\frac{x-4}{x-2})
limit as x approaches 7/8 of 1/(8x-7)
\lim\:_{x\to\:\frac{7}{8}}(\frac{1}{8x-7})
limit as x approaches 1 of c^2-(x+1)c
\lim\:_{x\to\:1}(c^{2}-(x+1)c)
limit as x approaches 0 of (tan(5x))/(tan(7x))
\lim\:_{x\to\:0}(\frac{\tan(5x)}{\tan(7x)})
limit as x approaches-3 of (2x+1)/(x+3)
\lim\:_{x\to\:-3}(\frac{2x+1}{x+3})
limit as x approaches 1 of 2+x
\lim\:_{x\to\:1}(2+x)
limit as θ approaches 2pi+of csc(θ/2)
\lim\:_{θ\to\:2π+}(\csc(\frac{θ}{2}))
limit as x approaches 1 of 3/(1-x)
\lim\:_{x\to\:1}(\frac{3}{1-x})
limit as x approaches 4-of (4+8)/2
\lim\:_{x\to\:4-}(\frac{4+8}{2})
limit as x approaches-3 of (2-x)/(x+3)
\lim\:_{x\to\:-3}(\frac{2-x}{x+3})
limit as x approaches infinity of (5x-3)/(sqrt(4x^2+3x-1))
\lim\:_{x\to\:\infty\:}(\frac{5x-3}{\sqrt{4x^{2}+3x-1}})
limit as x approaches 2+of (x-1)/(x^2-4)
\lim\:_{x\to\:2+}(\frac{x-1}{x^{2}-4})
limit as t approaches 0 of (sin(1-cos(t)))/(1-cos(t))
\lim\:_{t\to\:0}(\frac{\sin(1-\cos(t))}{1-\cos(t)})
limit as x approaches 1 of sqrt(2x-1)
\lim\:_{x\to\:1}(\sqrt{2x-1})
limit as x approaches 0 of ((5^x-6^x))/x
\lim\:_{x\to\:0}(\frac{(5^{x}-6^{x})}{x})
limit as x approaches-7+of f(x)
\lim\:_{x\to\:-7+}(f(x))
limit as x approaches-9 of |x+9|
\lim\:_{x\to\:-9}(\left|x+9\right|)
limit as h approaches 1 of ((2+h)^2-4)/h
\lim\:_{h\to\:1}(\frac{(2+h)^{2}-4}{h})
limit as x approaches-1 of x(1)
\lim\:_{x\to\:-1}(x(1))
limit as x approaches e of 1
\lim\:_{x\to\:e}(1)
limit as x approaches 0+of sin(x)+1/x
\lim\:_{x\to\:0+}(\sin(x)+\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 8 of sqrt((89+4x))
\lim\:_{x\to\:8}(\sqrt{(89+4x)})
limit as x approaches 5+of x-5
\lim\:_{x\to\:5+}(x-5)
limit as x approaches-1 of (x^2)/(1-x)
\lim\:_{x\to\:-1}(\frac{x^{2}}{1-x})
limit as x approaches 0 of (cos(x))^x
\lim\:_{x\to\:0}((\cos(x))^{x})
limit as x approaches infinity-of 2/x-3
\lim\:_{x\to\:\infty\:-}(\frac{2}{x}-3)
limit as x approaches 1 of e^{-1/(x-1)}
\lim\:_{x\to\:1}(e^{-\frac{1}{x-1}})
limit as h approaches 0 of (ln(1+h)-0)/h
\lim\:_{h\to\:0}(\frac{\ln(1+h)-0}{h})
limit as x approaches 0 of 5x^2+4x+8
\lim\:_{x\to\:0}(5x^{2}+4x+8)
limit as x approaches infinity of (10x^3-7x+2)/(2x^2+9x+6x^3)
\lim\:_{x\to\:\infty\:}(\frac{10x^{3}-7x+2}{2x^{2}+9x+6x^{3}})
limit as x approaches 1 of x^{1/x}
\lim\:_{x\to\:1}(x^{\frac{1}{x}})
limit as x approaches 0 of-2/(x^4)
\lim\:_{x\to\:0}(-\frac{2}{x^{4}})
limit as x approaches 0 of 7/(x^2)
\lim\:_{x\to\:0}(\frac{7}{x^{2}})
limit as x approaches infinity of in(x)
\lim\:_{x\to\:\infty\:}(in(x))
limit as x approaches 2 of (x^3+3)/(x-3)
\lim\:_{x\to\:2}(\frac{x^{3}+3}{x-3})
limit as x approaches 0+of (8x^2+245x)/x
\lim\:_{x\to\:0+}(\frac{8x^{2}+245x}{x})
limit as x approaches 0+of x*ln^2(x)
\lim\:_{x\to\:0+}(x\cdot\:\ln^{2}(x))
limit as x approaches-1 of sqrt(3-x)
\lim\:_{x\to\:-1}(\sqrt{3-x})
limit as x approaches 2 of 5x^2-4x+6
\lim\:_{x\to\:2}(5x^{2}-4x+6)
limit as x approaches 9 of sqrt(x-9)
\lim\:_{x\to\:9}(\sqrt{x-9})
limit as x approaches 0+of x/(e^{-7/x)}
\lim\:_{x\to\:0+}(\frac{x}{e^{-\frac{7}{x}}})
limit as x approaches-infinity of x+x^2
\lim\:_{x\to\:-\infty\:}(x+x^{2})
limit as x approaches 3 of (3x-2)/(2x+2)
\lim\:_{x\to\:3}(\frac{3x-2}{2x+2})
limit as x approaches 3 of ([x-3])/(x-3)
\lim\:_{x\to\:3}(\frac{[x-3]}{x-3})
limit as x approaches 6 of 3x+6
\lim\:_{x\to\:6}(3x+6)
limit as x approaches-4 of x/(x-4)
\lim\:_{x\to\:-4}(\frac{x}{x-4})
limit as x approaches-infinity of |x|^x
\lim\:_{x\to\:-\infty\:}(\left|x\right|^{x})
limit as x approaches 0 of 5x^{sin(x)}
\lim\:_{x\to\:0}(5x^{\sin(x)})
limit as x approaches 0+of (x+1)^{1/x}
\lim\:_{x\to\:0+}((x+1)^{\frac{1}{x}})
limit as x approaches 0 of (x-arctan(x))/(x^2tan(x))
\lim\:_{x\to\:0}(\frac{x-\arctan(x)}{x^{2}\tan(x)})
limit as x approaches a of f(x)+h(x)
\lim\:_{x\to\:a}(f(x)+h(x))
limit as x approaches 5 of 2x-1
\lim\:_{x\to\:5}(2x-1)
limit as x approaches infinity of 56
\lim\:_{x\to\:\infty\:}(56)
limit as x approaches 2-of ((x+2))/(x-2)
\lim\:_{x\to\:2-}(\frac{(x+2)}{x-2})
limit as x approaches infinity of 2/x+4
\lim\:_{x\to\:\infty\:}(\frac{2}{x}+4)
limit as x approaches 0 of x^3+2x
\lim\:_{x\to\:0}(x^{3}+2x)
limit as x approaches 0 of (tan(5x))/(7x)
\lim\:_{x\to\:0}(\frac{\tan(5x)}{7x})
limit as x approaches-8 of 5
\lim\:_{x\to\:-8}(5)
limit as x approaches 0+of x^{x-1}
\lim\:_{x\to\:0+}(x^{x-1})
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