Limit calculator

The calculator computes the limit of a given function at a given point.

Limit calculator

compute left, right or two-sided limit
help ↓↓ examples ↓↓

0123456789–+•/^.()xsqrtlnesincostanC ✖

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Input function:?

supported functions: sqrt, ln , e, sin, cos, tan, asin, acos, atan,...

Compute limit at:

x =

inf =

\infty

pi =

π

e =

e

Limit direction:

The two-sided limit

The left hand limit

The right hand limit

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Examples

Question 1:ex 1:

x \to \infty lim (1 + \frac{1}{x})^{x}

ex 2:

x \to 1 lim \frac{x ^{2} + 3 x - 4}{x - 1}

ex 3:

x \to 2 lim \frac{sin ( x ^{2} - 4 )}{x - 1}

ex 4:

x \to 3_{-} lim \frac{x ^{2} + 4}{x - 4}

Related calculators

Find more worked-out examples in our database of solved problems.

Examples of valid and invalid expressions

The function of which to find limit:	Correct syntax	Incorrect syntax
$\frac{s in ( x )}{7 x}$	sinx/(7x)	sinx/7x
$(1 + \frac{1}{x})^{2 x}$	(1+1/x)^(2x)	(1+1/x)^2x
$x l n (\frac{x - 1}{x + 1})$	x*ln((x-1)/(x+1))	x*ln(x-1)/(x+1)

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