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Popular Calculus Problems
limit as x approaches 0-of (1+4x)^{3/x}
\lim\:_{x\to\:0-}((1+4x)^{\frac{3}{x}})
limit as x approaches 3 of x^3+5x-1
\lim\:_{x\to\:3}(x^{3}+5x-1)
limit as x approaches 0 of (e^x+x)^{7/x}
\lim\:_{x\to\:0}((e^{x}+x)^{\frac{7}{x}})
limit as x approaches 3 of (x^2-6x-9)/(x-3)
\lim\:_{x\to\:3}(\frac{x^{2}-6x-9}{x-3})
limit as x approaches-8 of 1/(x+8)
\lim\:_{x\to\:-8}(\frac{1}{x+8})
limit as x approaches 0 of (3x)/(e^{4x)}
\lim\:_{x\to\:0}(\frac{3x}{e^{4x}})
limit as x approaches 0 of-(|x|)/x
\lim\:_{x\to\:0}(-\frac{\left|x\right|}{x})
limit as x approaches 1 of x^3-x^2-x+1
\lim\:_{x\to\:1}(x^{3}-x^{2}-x+1)
limit as x approaches 2 of sqrt(x+34)
\lim\:_{x\to\:2}(\sqrt{x+34})
limit as x approaches 1/2 of x-1
\lim\:_{x\to\:\frac{1}{2}}(x-1)
limit as x approaches 0 of (1/x)sin(x/2)
\lim\:_{x\to\:0}((\frac{1}{x})\sin(\frac{x}{2}))
limit as x approaches 2-of 3+|2x-4|
\lim\:_{x\to\:2-}(3+\left|2x-4\right|)
limit as x approaches 0 of 1-2/(x-3)
\lim\:_{x\to\:0}(1-\frac{2}{x-3})
limit as x approaches 0 of ln(1+2x^2)
\lim\:_{x\to\:0}(\ln(1+2x^{2}))
limit as x approaches-2 of 3x^3-x-1
\lim\:_{x\to\:-2}(3x^{3}-x-1)
limit as x approaches 3 of 15
\lim\:_{x\to\:3}(15)
limit as h approaches 0 of ((2+h)^3-4)/h
\lim\:_{h\to\:0}(\frac{(2+h)^{3}-4}{h})
limit as x approaches 0 of xln|7x|
\lim\:_{x\to\:0}(x\ln\left|7x\right|)
limit as x approaches 2 of e^{x-2}
\lim\:_{x\to\:2}(e^{x-2})
limit as x approaches 4 of x^2-2x
\lim\:_{x\to\:4}(x^{2}-2x)
limit as x approaches 1 of 5ln(x)
\lim\:_{x\to\:1}(5\ln(x))
limit as x approaches c of (f(x))/(g(x))
\lim\:_{x\to\:c}(\frac{f(x)}{g(x)})
limit as x approaches-2 of x+6
\lim\:_{x\to\:-2}(x+6)
limit as x approaches-1 of 5x+2
\lim\:_{x\to\:-1}(5x+2)
limit as x approaches 0 of ((x^2-1))/x
\lim\:_{x\to\:0}(\frac{(x^{2}-1)}{x})
limit as x approaches 2 of sqrt(3x^2-6)
\lim\:_{x\to\:2}(\sqrt{3x^{2}-6})
limit as x approaches pi/2+of cot(x)
\lim\:_{x\to\:\frac{π}{2}+}(\cot(x))
limit as x approaches infinity of (1-(1/x))^{2x}
\lim\:_{x\to\:\infty\:}((1-(\frac{1}{x}))^{2x})
limit as x approaches 0 of (3x-sin(kx))/x
\lim\:_{x\to\:0}(\frac{3x-\sin(kx)}{x})
limit as x approaches pi/2 of 3tan(x)
\lim\:_{x\to\:\frac{π}{2}}(3\tan(x))
limit as x approaches infinity of 0.65^x
\lim\:_{x\to\:\infty\:}(0.65^{x})
limit as x approaches 4-of 1/(x+4)
\lim\:_{x\to\:4-}(\frac{1}{x+4})
limit as h(x) approaches 0 of (f(x)(x+2h(x))-f(x))/(h(x))
\lim\:_{h(x)\to\:0}(\frac{f(x)(x+2h(x))-f(x)}{h(x)})
limit as x approaches-3 of Inx^2
\lim\:_{x\to\:-3}(Inx^{2})
limit as x approaches 2 of (x+19)/3
\lim\:_{x\to\:2}(\frac{x+19}{3})
limit as x approaches-2 of sec((pix)/4)
\lim\:_{x\to\:-2}(\sec(\frac{πx}{4}))
limit as x approaches 1-of 3x+2
\lim\:_{x\to\:1-}(3x+2)
limit as x approaches pi/2+of-ln|cos(x)|
\lim\:_{x\to\:\frac{π}{2}+}(-\ln\left|\cos(x)\right|)
limit as x approaches 0 of (x^3+x^2)/x
\lim\:_{x\to\:0}(\frac{x^{3}+x^{2}}{x})
limit as x approaches 1 of x^n
\lim\:_{x\to\:1}(x^{n})
limit as x approaches-4 of (x+3)/(x+4)
\lim\:_{x\to\:-4}(\frac{x+3}{x+4})
limit as x approaches 0 of (12^{4x}-1)/(2x)
\lim\:_{x\to\:0}(\frac{12^{4x}-1}{2x})
limit as x approaches 5 of x^2+11
\lim\:_{x\to\:5}(x^{2}+11)
limit as x approaches 0+of e^{x^2ln(x)}
\lim\:_{x\to\:0+}(e^{x^{2}\ln(x)})
limit as x approaches 0 of (\sqrt[3]{1+x}-1)/(sqrt(1+x)-1)
\lim\:_{x\to\:0}(\frac{\sqrt[3]{1+x}-1}{\sqrt{1+x}-1})
limit as h approaches 0 of (sqrt(2x+2h+1)-sqrt(2x+1))/h
\lim\:_{h\to\:0}(\frac{\sqrt{2x+2h+1}-\sqrt{2x+1}}{h})
limit as x approaches 3 of 1/((3+x)^2)
\lim\:_{x\to\:3}(\frac{1}{(3+x)^{2}})
limit as x approaches 7 of x+7
\lim\:_{x\to\:7}(x+7)
limit as x approaches 1+of 4/(x^2-1)
\lim\:_{x\to\:1+}(\frac{4}{x^{2}-1})
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 infinity of-x^{-3}
\lim\:_{x\to\:\infty\:}(-x^{-3})
limit as x approaches 1+of csc(pix)
\lim\:_{x\to\:1+}(\csc(πx))
limit as x approaches-2 of sqrt(2)
\lim\:_{x\to\:-2}(\sqrt{2})
limit as x approaches 4 of (2x+7)/(x+1)
\lim\:_{x\to\:4}(\frac{2x+7}{x+1})
limit as x approaches-2 of x^3+1
\lim\:_{x\to\:-2}(x^{3}+1)
limit as x approaches 2 of sqrt(x^2-9)
\lim\:_{x\to\:2}(\sqrt{x^{2}-9})
limit as h approaches 0 of 3h^2
\lim\:_{h\to\:0}(3h^{2})
limit as x approaches 2 of (x^2)/(2-x)
\lim\:_{x\to\:2}(\frac{x^{2}}{2-x})
limit as x approaches 0 of x^7cos(2/x)
\lim\:_{x\to\:0}(x^{7}\cos(\frac{2}{x}))
limit as x approaches 0+of [sin(x)ln(x)]
\lim\:_{x\to\:0+}([\sin(x)\ln(x)])
limit as x approaches 7 of (2x-2)^2
\lim\:_{x\to\:7}((2x-2)^{2})
limit as x approaches 0 of (8x^2+5x)/x
\lim\:_{x\to\:0}(\frac{8x^{2}+5x}{x})
limit as x approaches 0 of (3x)^{sin(x)}
\lim\:_{x\to\:0}((3x)^{\sin(x)})
limit as b approaches infinity of ln(b)
\lim\:_{b\to\:\infty\:}(\ln(b))
limit as x approaches 4 of e^{x^2+6x+5}
\lim\:_{x\to\:4}(e^{x^{2}+6x+5})
limit as x approaches 3 of x^2+3x-4
\lim\:_{x\to\:3}(x^{2}+3x-4)
limit as x approaches 0 of 1^{(ln(2))/x}
\lim\:_{x\to\:0}(1^{\frac{\ln(2)}{x}})
limit as x approaches 0 of 2x^2-1
\lim\:_{x\to\:0}(2x^{2}-1)
limit as x approaches 1 of 2x^3-3x^2+x-1
\lim\:_{x\to\:1}(2x^{3}-3x^{2}+x-1)
limit as x approaches 0+of x^{-1}
\lim\:_{x\to\:0+}(x^{-1})
limit as x approaches infinity of x^5e^{-2x}
\lim\:_{x\to\:\infty\:}(x^{5}e^{-2x})
limit as x approaches 2-of 4/(x-2)
\lim\:_{x\to\:2-}(\frac{4}{x-2})
limit as x approaches-3 of (x+3)/x
\lim\:_{x\to\:-3}(\frac{x+3}{x})
limit as x approaches 2 of 6x+7
\lim\:_{x\to\:2}(6x+7)
limit as x approaches 1 of (2x-1)^2-2
\lim\:_{x\to\:1}((2x-1)^{2}-2)
limit as x approaches 5-of 1/((x-5)^4)
\lim\:_{x\to\:5-}(\frac{1}{(x-5)^{4}})
limit as x approaches (5pi)/4 of sin(x)
\lim\:_{x\to\:\frac{5π}{4}}(\sin(x))
limit as x approaches 1 of xe^x
\lim\:_{x\to\:1}(xe^{x})
limit as x approaches-3 of 2x^2+x
\lim\:_{x\to\:-3}(2x^{2}+x)
limit as x approaches-infinity of e^x-3x
\lim\:_{x\to\:-\infty\:}(e^{x}-3x)
limit as x approaches 4 of 7^x+2x
\lim\:_{x\to\:4}(7^{x}+2x)
limit as x approaches pi of 2cos(x)
\lim\:_{x\to\:π}(2\cos(x))
limit as x approaches 0-of 6/(x^2)
\lim\:_{x\to\:0-}(\frac{6}{x^{2}})
limit as x approaches 5 of (x-5)/x
\lim\:_{x\to\:5}(\frac{x-5}{x})
limit as x approaches-4 of 7/4 x+5
\lim\:_{x\to\:-4}(\frac{7}{4}x+5)
limit as x approaches 2 of x-5
\lim\:_{x\to\:2}(x-5)
limit as x approaches 0+of (x^2)/x
\lim\:_{x\to\:0+}(\frac{x^{2}}{x})
limit as x approaches 5 of ln(e^x)
\lim\:_{x\to\:5}(\ln(e^{x}))
limit as x approaches 0 of 2x*sin(1/x)
\lim\:_{x\to\:0}(2x\cdot\:\sin(\frac{1}{x}))
limit as x approaches 2 of x+4
\lim\:_{x\to\:2}(x+4)
limit as x approaches-3/2+of-2/(2x+3)
\lim\:_{x\to\:-\frac{3}{2}+}(-\frac{2}{2x+3})
limit as x approaches infinity of x^3-7
\lim\:_{x\to\:\infty\:}(x^{3}-7)
limit as x approaches 0 of 4x+3+1/(x^2)
\lim\:_{x\to\:0}(4x+3+\frac{1}{x^{2}})
limit as x approaches 0 of x(ln(x^2))
\lim\:_{x\to\:0}(x(\ln(x^{2})))
limit as x approaches 0 of sin(x)*cos(x)
\lim\:_{x\to\:0}(\sin(x)\cdot\:\cos(x))
limit as x approaches pi/2 of 1-sin(x)
\lim\:_{x\to\:\frac{π}{2}}(1-\sin(x))
limit as x approaches-1 of e^{-x+1}
\lim\:_{x\to\:-1}(e^{-x+1})
limit as x approaches 0+of-2x-ln(x/3)
\lim\:_{x\to\:0+}(-2x-\ln(\frac{x}{3}))
limit as x approaches infinity of ((x+2)/(x+1))^{3x}
\lim\:_{x\to\:\infty\:}((\frac{x+2}{x+1})^{3x})
limit as x approaches 2 of 5-x
\lim\:_{x\to\:2}(5-x)
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