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Popular Calculus Problems
limit as x approaches 0 of x^3-x
\lim\:_{x\to\:0}(x^{3}-x)
limit as x approaches 0 of (x+2sin(x))/x
\lim\:_{x\to\:0}(\frac{x+2\sin(x)}{x})
limit as x approaches 3-of x^2-1
\lim\:_{x\to\:3-}(x^{2}-1)
limit as x approaches 0+of (csc(x))^{3x}
\lim\:_{x\to\:0+}((\csc(x))^{3x})
limit as x approaches infinity of 2/6
\lim\:_{x\to\:\infty\:}(\frac{2}{6})
limit as x approaches 3 of (2-x)/(x-3)
\lim\:_{x\to\:3}(\frac{2-x}{x-3})
limit as x approaches 64-of x-56
\lim\:_{x\to\:64-}(x-56)
limit as x approaches 1-of 0
\lim\:_{x\to\:1-}(0)
limit as x approaches 3 of 1/(x-4)
\lim\:_{x\to\:3}(\frac{1}{x-4})
limit as x approaches 1 of (3x-3)/(x-1)
\lim\:_{x\to\:1}(\frac{3x-3}{x-1})
limit as x approaches 4 of-x
\lim\:_{x\to\:4}(-x)
limit as x approaches 0 of 5sin(x)-1
\lim\:_{x\to\:0}(5\sin(x)-1)
limit as x approaches 2 of x^2+7x+12
\lim\:_{x\to\:2}(x^{2}+7x+12)
limit as x approaches 3 of (-4x)/(x-3)
\lim\:_{x\to\:3}(\frac{-4x}{x-3})
limit as x approaches 0 of ln(x^4)
\lim\:_{x\to\:0}(\ln(x^{4}))
limit as x approaches infinity of cos(1)
\lim\:_{x\to\:\infty\:}(\cos(1))
limit as x approaches 0 of 2x^2-ln(x)
\lim\:_{x\to\:0}(2x^{2}-\ln(x))
limit as x approaches 3 of 4x^2-5x+4
\lim\:_{x\to\:3}(4x^{2}-5x+4)
limit as x approaches 0 of (sin(2x))/2
\lim\:_{x\to\:0}(\frac{\sin(2x)}{2})
limit as n approaches infinity of 2/(sqrt(n))+3/(\sqrt[3]{n)}
\lim\:_{n\to\:\infty\:}(\frac{2}{\sqrt{n}}+\frac{3}{\sqrt[3]{n}})
limit as x approaches 1-of (ln(x))/(x-1)
\lim\:_{x\to\:1-}(\frac{\ln(x)}{x-1})
limit as x approaches 0+of (cos^2(x))/x
\lim\:_{x\to\:0+}(\frac{\cos^{2}(x)}{x})
limit as x approaches-2 of {-4}
\lim\:_{x\to\:-2}(\left\{-4\right\})
limit as x approaches 1/3 of (2x)(3x-3)
\lim\:_{x\to\:\frac{1}{3}}((2x)(3x-3))
limit as x approaches-1 of x^2+2x
\lim\:_{x\to\:-1}(x^{2}+2x)
limit as z approaches 0 of (sin(3z))/z
\lim\:_{z\to\:0}(\frac{\sin(3z)}{z})
limit as x approaches 0+of sin(1/x)x
\lim\:_{x\to\:0+}(\sin(\frac{1}{x})x)
limit as x approaches 2 of ((3))/((x+2))
\lim\:_{x\to\:2}(\frac{(3)}{(x+2)})
limit as u approaches 1 of (u+1)/(u^2-1)
\lim\:_{u\to\:1}(\frac{u+1}{u^{2}-1})
limit as x approaches infinity of \sqrt[x]{rx}
\lim\:_{x\to\:\infty\:}(\sqrt[x]{rx})
limit as x approaches 101 of x^3-4x^2+7
\lim\:_{x\to\:101}(x^{3}-4x^{2}+7)
limit as x approaches 0 of (2+x)/x
\lim\:_{x\to\:0}(\frac{2+x}{x})
limit as x approaches 0 of 3x+6
\lim\:_{x\to\:0}(3x+6)
limit as x approaches infinity of (x+7)/(7+7^{x+1)(x+6)}
\lim\:_{x\to\:\infty\:}(\frac{x+7}{7+7^{x+1}(x+6)})
limit as x approaches-3 of (2x-1)/(x-3)
\lim\:_{x\to\:-3}(\frac{2x-1}{x-3})
limit as x approaches 2 of 3x^2-6x+8
\lim\:_{x\to\:2}(3x^{2}-6x+8)
limit as x approaches a of (3ax-2a+2x-3a^2)/(5ax+a-5a^2-x)
\lim\:_{x\to\:a}(\frac{3ax-2a+2x-3a^{2}}{5ax+a-5a^{2}-x})
limit as x approaches 0 of sin(pi)
\lim\:_{x\to\:0}(\sin(π))
limit as t approaches 0 of (sin(-3t))/t
\lim\:_{t\to\:0}(\frac{\sin(-3t)}{t})
limit as x approaches 0-of x^2*ln(-x)
\lim\:_{x\to\:0-}(x^{2}\cdot\:\ln(-x))
limit as x approaches 0 of (1/x)(1/3-1/(sqrt(x+9)))
\lim\:_{x\to\:0}((\frac{1}{x})(\frac{1}{3}-\frac{1}{\sqrt{x+9}}))
limit as x approaches 1 of (x-1)/2
\lim\:_{x\to\:1}(\frac{x-1}{2})
limit as x approaches-pi/2-of sec(x)
\lim\:_{x\to\:-\frac{π}{2}-}(\sec(x))
limit as x approaches 2-of x-3
\lim\:_{x\to\:2-}(x-3)
limit as x approaches pi/3-of sin(3x)
\lim\:_{x\to\:\frac{π}{3}-}(\sin(3x))
limit as x approaches-1 of 2x-2
\lim\:_{x\to\:-1}(2x-2)
limit as x approaches-2 of (x-2)/(x^3-8)
\lim\:_{x\to\:-2}(\frac{x-2}{x^{3}-8})
limit as x approaches 6+of 1/(|6-x|)
\lim\:_{x\to\:6+}(\frac{1}{\left|6-x\right|})
limit as x approaches 0 of 2xcot(2x)
\lim\:_{x\to\:0}(2x\cot(2x))
limit as x approaches 7 of 7x-1
\lim\:_{x\to\:7}(7x-1)
limit as h approaches 0+of 1.5-h
\lim\:_{h\to\:0+}(1.5-h)
limit as x approaches 9-of sqrt(x^2-81)
\lim\:_{x\to\:9-}(\sqrt{x^{2}-81})
limit as x approaches 3 of 10-2x
\lim\:_{x\to\:3}(10-2x)
limit as x approaches 1 of ax^{a-1}
\lim\:_{x\to\:1}(ax^{a-1})
limit as x approaches infinity of 7-3/x
\lim\:_{x\to\:\infty\:}(7-\frac{3}{x})
limit as x approaches 5 of (x^2)/(x-5)
\lim\:_{x\to\:5}(\frac{x^{2}}{x-5})
limit as x approaches 0 of (x+e^x) 1/x
\lim\:_{x\to\:0}((x+e^{x})\frac{1}{x})
limit as x approaches-1 of (1-x)/(1+x)
\lim\:_{x\to\:-1}(\frac{1-x}{1+x})
limit as x approaches 58-of ln(x)+2
\lim\:_{x\to\:58-}(\ln(x)+2)
limit as x approaches 0 of (sinh(x))/h
\lim\:_{x\to\:0}(\frac{\sinh(x)}{h})
limit as x approaches infinity of-ln(5x)
\lim\:_{x\to\:\infty\:}(-\ln(5x))
limit as x approaches pi+of 3/(sin(x))
\lim\:_{x\to\:π+}(\frac{3}{\sin(x)})
limit as x approaches 0-of cot(x)-1/x
\lim\:_{x\to\:0-}(\cot(x)-\frac{1}{x})
limit as x approaches 5 of (5-x)/(x-5)
\lim\:_{x\to\:5}(\frac{5-x}{x-5})
limit as x approaches 0 of (27)^{1/3}
\lim\:_{x\to\:0}((27)^{\frac{1}{3}})
limit as x approaches 0 of 36+6x
\lim\:_{x\to\:0}(36+6x)
limit as x approaches 0 of (11^x-15^x)/x
\lim\:_{x\to\:0}(\frac{11^{x}-15^{x}}{x})
limit as y approaches 0 of 2/(y^2)
\lim\:_{y\to\:0}(\frac{2}{y^{2}})
limit as x approaches 0 of (1+pix)^{1/x}
\lim\:_{x\to\:0}((1+πx)^{\frac{1}{x}})
limit as x approaches 1 of (arctan(x))/x
\lim\:_{x\to\:1}(\frac{\arctan(x)}{x})
limit as x approaches 2 of (x+3)/(x-1)
\lim\:_{x\to\:2}(\frac{x+3}{x-1})
limit as x approaches (-1) of (x^10)/1
\lim\:_{x\to\:(-1)}(\frac{x^{1}0}{1})
limit as x approaches infinity of 4ln(x)
\lim\:_{x\to\:\infty\:}(4\ln(x))
limit as x approaches-1 of x/((1+x)^2)
\lim\:_{x\to\:-1}(\frac{x}{(1+x)^{2}})
limit as x approaches pi/2 of tan(3x)
\lim\:_{x\to\:\frac{π}{2}}(\tan(3x))
limit as s approaches-0.001 of (2+s)/s
\lim\:_{s\to\:-0.001}(\frac{2+s}{s})
limit as x approaches 0 of 1/(3x^4)
\lim\:_{x\to\:0}(\frac{1}{3x^{4}})
limit as x approaches 0 of 2/(x^2)-1
\lim\:_{x\to\:0}(\frac{2}{x^{2}}-1)
limit as x approaches 1 of (x+1)/(x^3-x)
\lim\:_{x\to\:1}(\frac{x+1}{x^{3}-x})
limit as x approaches 1 of (1^3-1)/(1-1)
\lim\:_{x\to\:1}(\frac{1^{3}-1}{1-1})
limit as x approaches 0+of (csc(4x))/x
\lim\:_{x\to\:0+}(\frac{\csc(4x)}{x})
limit as x approaches 0 of+((|x|)/x)
\lim\:_{x\to\:0}(+(\frac{\left|x\right|}{x}))
limit as x approaches-2 of (x-3)/(x-2)
\lim\:_{x\to\:-2}(\frac{x-3}{x-2})
limit as x approaches 1-of (sin(x))/x
\lim\:_{x\to\:1-}(\frac{\sin(x)}{x})
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-1+of (4-x)/(x+1)
\lim\:_{x\to\:-1+}(\frac{4-x}{x+1})
limit as x approaches 0 of ln(3^x)
\lim\:_{x\to\:0}(\ln(3^{x}))
limit as x approaches 2 of (x-4)/(2-x)
\lim\:_{x\to\:2}(\frac{x-4}{2-x})
limit as h approaches 0 of (cos(x))/h
\lim\:_{h\to\:0}(\frac{\cos(x)}{h})
limit as x approaches 1 of x^5-1
\lim\:_{x\to\:1}(x^{5}-1)
limit as x approaches 0 of (2sqrt(2))/x
\lim\:_{x\to\:0}(\frac{2\sqrt{2}}{x})
limit as x approaches 1 of (2-x)/(x^2-4)
\lim\:_{x\to\:1}(\frac{2-x}{x^{2}-4})
limit as x approaches 0 of 1/(x^{-2)}
\lim\:_{x\to\:0}(\frac{1}{x^{-2}})
limit as x approaches 3 of x-3x+1-2
\lim\:_{x\to\:3}(x-3x+1-2)
limit as x approaches 0 of cos(2x-1)
\lim\:_{x\to\:0}(\cos(2x-1))
limit as x approaches 0 of (2^x+x)^{3/x}
\lim\:_{x\to\:0}((2^{x}+x)^{\frac{3}{x}})
limit as x approaches 1 of ln(x)+1
\lim\:_{x\to\:1}(\ln(x)+1)
limit as x approaches-2 of x^2-4x+1
\lim\:_{x\to\:-2}(x^{2}-4x+1)
limit as x approaches 0 of x/(sin(-x))
\lim\:_{x\to\:0}(\frac{x}{\sin(-x)})
limit as x approaches 1 of (7x-7)/(8x-8)
\lim\:_{x\to\:1}(\frac{7x-7}{8x-8})
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