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Popular Calculus Problems
limit as θ approaches 0 of (cos(θ)tan(θ))/θ
\lim\:_{θ\to\:0}(\frac{\cos(θ)\tan(θ)}{θ})
limit as x approaches 2 of x^3e^x+4^x
\lim\:_{x\to\:2}(x^{3}e^{x}+4^{x})
limit as x approaches 0 of x^2sin(4/x)
\lim\:_{x\to\:0}(x^{2}\sin(\frac{4}{x}))
limit as x approaches 1-of (x-1)/(x^2-1)
\lim\:_{x\to\:1-}(\frac{x-1}{x^{2}-1})
limit as x approaches 7 of (10-x)^4
\lim\:_{x\to\:7}((10-x)^{4})
limit as x approaches 0+of csc(x)+1/x
\lim\:_{x\to\:0+}(\csc(x)+\frac{1}{x})
limit as x approaches 4 of ln(x)
\lim\:_{x\to\:4}(\ln(x))
limit as x approaches 8 of 7/(x-8)
\lim\:_{x\to\:8}(\frac{7}{x-8})
limit as x approaches-2 of 1+x^3
\lim\:_{x\to\:-2}(1+x^{3})
limit as x approaches-infinity of 3x^5
\lim\:_{x\to\:-\infty\:}(3x^{5})
limit as x approaches 0 of (1+4x)^{2/x}
\lim\:_{x\to\:0}((1+4x)^{\frac{2}{x}})
limit as x approaches 6 of 15
\lim\:_{x\to\:6}(15)
limit as x approaches 0+of x^2*sin(1/x)
\lim\:_{x\to\:0+}(x^{2}\cdot\:\sin(\frac{1}{x}))
limit as x approaches 0+of (|sin(x)|)/x
\lim\:_{x\to\:0+}(\frac{\left|\sin(x)\right|}{x})
limit as x approaches 0 of+(sin(1/x))
\lim\:_{x\to\:0}(+(\sin(\frac{1}{x})))
limit as θ approaches 0 of cot(θ)-csc(θ)
\lim\:_{θ\to\:0}(\cot(θ)-\csc(θ))
limit as x approaches 0 of 1/x cos(x)
\lim\:_{x\to\:0}(\frac{1}{x}\cos(x))
limit as x approaches 0+of 4/x
\lim\:_{x\to\:0+}(\frac{4}{x})
limit as x approaches 1 of x^{1/(2x-2)}
\lim\:_{x\to\:1}(x^{\frac{1}{2x-2}})
limit as x approaches 0+of 1/(x^4)
\lim\:_{x\to\:0+}(\frac{1}{x^{4}})
limit as x approaches infinity of 2x^2-4x-2
\lim\:_{x\to\:\infty\:}(2x^{2}-4x-2)
limit as x approaches-3+of (2x-1)/(x-3)
\lim\:_{x\to\:-3+}(\frac{2x-1}{x-3})
limit as x approaches infinity of (-5x^2+20x)/(x^3-3x^2-4x)
\lim\:_{x\to\:\infty\:}(\frac{-5x^{2}+20x}{x^{3}-3x^{2}-4x})
limit as x approaches 0 of (sin(5x))/(tan(x))
\lim\:_{x\to\:0}(\frac{\sin(5x)}{\tan(x)})
limit as x approaches 0-of xcot(pix)
\lim\:_{x\to\:0-}(x\cot(πx))
limit as x approaches 0 of (xsin(x))/x
\lim\:_{x\to\:0}(\frac{x\sin(x)}{x})
limit as x approaches+0 of x^2ln(x)
\lim\:_{x\to\:+0}(x^{2}\ln(x))
limit as x approaches-1 of e^{x/(x+1)}
\lim\:_{x\to\:-1}(e^{\frac{x}{x+1}})
limit as x approaches 3 of (3-x)/(x-3)
\lim\:_{x\to\:3}(\frac{3-x}{x-3})
limit as x approaches-pi/2-of-2x-pi/2
\lim\:_{x\to\:-\frac{π}{2}-}(-2x-\frac{π}{2})
limit as t approaches 0+of (2sin(4t))/t
\lim\:_{t\to\:0+}(\frac{2\sin(4t)}{t})
limit as x approaches 0+of (2x)^x
\lim\:_{x\to\:0+}((2x)^{x})
limit as x approaches pi/2 of 1/(tan(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{1}{\tan(x)})
limit as x approaches-6 of x/(x+6)
\lim\:_{x\to\:-6}(\frac{x}{x+6})
limit as x approaches 1/2 of xtan(pix)
\lim\:_{x\to\:\frac{1}{2}}(x\tan(πx))
limit as x approaches-infinity of x,-3
\lim\:_{x\to\:-\infty\:}(x,-3)
limit as x approaches 0+of x^{ln(x)}
\lim\:_{x\to\:0+}(x^{\ln(x)})
limit as x approaches-2 of sqrt(4)
\lim\:_{x\to\:-2}(\sqrt{4})
limit as x approaches 4-of (2x)/(4-x)
\lim\:_{x\to\:4-}(\frac{2x}{4-x})
limit as x approaches 1+of 1-x^2
\lim\:_{x\to\:1+}(1-x^{2})
limit as x approaches 3 of (x^3-9x)/(3x^2-6x-9)
\lim\:_{x\to\:3}(\frac{x^{3}-9x}{3x^{2}-6x-9})
limit as x approaches 1 of 2x^2+5x-6
\lim\:_{x\to\:1}(2x^{2}+5x-6)
limit as x approaches 0+of ln(3x)
\lim\:_{x\to\:0+}(\ln(3x))
limit as x approaches-1 of (2x-1)/(x+1)
\lim\:_{x\to\:-1}(\frac{2x-1}{x+1})
limit as x approaches infinity of x^aa^x
\lim\:_{x\to\:\infty\:}(x^{a}a^{x})
limit as x approaches 0 of x^6sin(1/x)
\lim\:_{x\to\:0}(x^{6}\sin(\frac{1}{x}))
limit as n approaches infinity of 1+x/n
\lim\:_{n\to\:\infty\:}(1+\frac{x}{n})
limit as x approaches-1-of (x^2)/(x^2-1)
\lim\:_{x\to\:-1-}(\frac{x^{2}}{x^{2}-1})
limit as x approaches 0-of (3x^2+2x)/x
\lim\:_{x\to\:0-}(\frac{3x^{2}+2x}{x})
limit as x approaches 0+of (1+3x)^{2/x}
\lim\:_{x\to\:0+}((1+3x)^{\frac{2}{x}})
limit as x approaches 0 of (x+5)/(x-3)
\lim\:_{x\to\:0}(\frac{x+5}{x-3})
limit as b approaches 0 of cot(b)-csc(b)
\lim\:_{b\to\:0}(\cot(b)-\csc(b))
limit as x approaches 7-of (x^2-4x-21)/(|x-7|)
\lim\:_{x\to\:7-}(\frac{x^{2}-4x-21}{\left|x-7\right|})
limit as x approaches 0 of (x^3-x)/(x-1)
\lim\:_{x\to\:0}(\frac{x^{3}-x}{x-1})
limit as x approaches 2 of (2x-4)/(x+3)
\lim\:_{x\to\:2}(\frac{2x-4}{x+3})
limit as x approaches 0 of [ x/a ]*b/x
\lim\:_{x\to\:0}([\frac{x}{a}]\cdot\:\frac{b}{x})
limit as x approaches 0 of [ 1/x-1/(ln(1+x))]
\lim\:_{x\to\:0}([\frac{1}{x}-\frac{1}{\ln(1+x)}])
limit as x approaches-2-of (2-|x|)/(2+x)
\lim\:_{x\to\:-2-}(\frac{2-\left|x\right|}{2+x})
limit as x approaches 0 of (sin(x)+x)/x
\lim\:_{x\to\:0}(\frac{\sin(x)+x}{x})
limit as x approaches 0+of 2xcsc(2pi-x)
\lim\:_{x\to\:0+}(2x\csc(2π-x))
limit as x approaches 2 of sqrt(4-2x)
\lim\:_{x\to\:2}(\sqrt{4-2x})
limit as x approaches 0 of-1/(|x|)
\lim\:_{x\to\:0}(-\frac{1}{\left|x\right|})
limit as x approaches 1-of ln(ln(x))
\lim\:_{x\to\:1-}(\ln(\ln(x)))
limit as x approaches 0 of (12+x)^x
\lim\:_{x\to\:0}((12+x)^{x})
limit as x approaches-1 of 3x+2
\lim\:_{x\to\:-1}(3x+2)
limit as x approaches 1 of 1/((1-x)^2)
\lim\:_{x\to\:1}(\frac{1}{(1-x)^{2}})
limit as x approaches 0 of (tan^2(4x))/(1-cos(5x))
\lim\:_{x\to\:0}(\frac{\tan^{2}(4x)}{1-\cos(5x)})
limit as x approaches-2 of 0/(x+2)
\lim\:_{x\to\:-2}(\frac{0}{x+2})
limit as x approaches 5-of ln(x-5)
\lim\:_{x\to\:5-}(\ln(x-5))
limit as x approaches infinity of 500e^{(-0.49x)}
\lim\:_{x\to\:\infty\:}(500e^{(-0.49x)})
limit as x approaches 0 of x^3sin(5/x)
\lim\:_{x\to\:0}(x^{3}\sin(\frac{5}{x}))
limit as x approaches 6+of (x-6)/(|x-6|)
\lim\:_{x\to\:6+}(\frac{x-6}{\left|x-6\right|})
limit as x approaches-2 of x^2+x-3
\lim\:_{x\to\:-2}(x^{2}+x-3)
limit as z approaches 8 of (2z^2-17z+8)/(8-z)
\lim\:_{z\to\:8}(\frac{2z^{2}-17z+8}{8-z})
limit as x approaches 5 of (x+3)/(x-5)
\lim\:_{x\to\:5}(\frac{x+3}{x-5})
limit as x approaches 0 of 1-cos(x^2)
\lim\:_{x\to\:0}(1-\cos(x^{2}))
limit as x approaches 0 of x/((1-x)^2)
\lim\:_{x\to\:0}(\frac{x}{(1-x)^{2}})
limit as x approaches-4 of 7
\lim\:_{x\to\:-4}(7)
limit as x approaches-3 of (x^3-9)/(x+3)
\lim\:_{x\to\:-3}(\frac{x^{3}-9}{x+3})
limit as x approaches 0 of (x)tan(x)
\lim\:_{x\to\:0}((x)\tan(x))
limit as x approaches infinity of (-4)/x
\lim\:_{x\to\:\infty\:}(\frac{-4}{x})
limit as x approaches pi/2+of (sec(x))/x
\lim\:_{x\to\:\frac{π}{2}+}(\frac{\sec(x)}{x})
limit as x approaches-5-of f(x)
\lim\:_{x\to\:-5-}(f(x))
limit as x approaches 0 of 2x(ln(x))
\lim\:_{x\to\:0}(2x(\ln(x)))
limit as x approaches 0 of (csc(2x))/(cot(x))
\lim\:_{x\to\:0}(\frac{\csc(2x)}{\cot(x)})
limit as x approaches 1 of-x
\lim\:_{x\to\:1}(-x)
limit as x approaches 4 of (5x)/(x-3)
\lim\:_{x\to\:4}(\frac{5x}{x-3})
limit as x approaches 2+of e^{x/(x^2-4)}
\lim\:_{x\to\:2+}(e^{\frac{x}{x^{2}-4}})
limit as 0 approaches infinity of 0
\lim\:_{0\to\:\infty\:}(0)
limit as x approaches 0 of x*cot(3x)
\lim\:_{x\to\:0}(x\cdot\:\cot(3x))
limit as x approaches-infinity of 1-x
\lim\:_{x\to\:-\infty\:}(1-x)
limit as x approaches 0+of (x/(x+1))^x
\lim\:_{x\to\:0+}((\frac{x}{x+1})^{x})
limit as x approaches 0 of (9x^4)/(5x^4)-12
\lim\:_{x\to\:0}(\frac{9x^{4}}{5x^{4}}-12)
limit as n approaches infinity of (ln(1/n))/(sqrt(2n))
\lim\:_{n\to\:\infty\:}(\frac{\ln(\frac{1}{n})}{\sqrt{2n}})
limit as x approaches pi+of cos(x)
\lim\:_{x\to\:π+}(\cos(x))
limit as u approaches-2 of (u^3+4u^2+4u)/((u+2)(u-3))
\lim\:_{u\to\:-2}(\frac{u^{3}+4u^{2}+4u}{(u+2)(u-3)})
limit as x approaches 0+of 1/x+5x^3+3
\lim\:_{x\to\:0+}(\frac{1}{x}+5x^{3}+3)
limit as x approaches-7 of (x^2+16x+35)/(x^2+10x+21)
\lim\:_{x\to\:-7}(\frac{x^{2}+16x+35}{x^{2}+10x+21})
limit as x approaches 4 of (x^2-3x-4)/(x^2-8x+16)
\lim\:_{x\to\:4}(\frac{x^{2}-3x-4}{x^{2}-8x+16})
limit as x approaches 7+of (x^2-4x-21)/(|x-7|)
\lim\:_{x\to\:7+}(\frac{x^{2}-4x-21}{\left|x-7\right|})
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