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Limit calculator

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

Limit calculator
compute left, right or two-sided limit
help ↓↓ examples ↓↓
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The two-sided limit
The left hand limit
The right hand limit
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Examples
Question 1:ex 1:
$$ \lim \limits_{x \to \infty} \left(1+ \frac{1}{x}\right)^x $$
ex 2:
$$ \lim \limits_{x \to 1} \frac{x^2 + 3x - 4}{x - 1} $$
ex 3:
$$ \lim \limits_{x \to 2} \frac{\sin\left(x^2-4\right)}{x - 1} $$
ex 4:
$$ \lim \limits_{x \to 3_-} \frac{x^2+4}{x - 4} $$
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
$$ \frac{sin(x)}{7x} $$ sinx/(7x) sinx/7x
$$ \left(1+\frac{1}{x}\right)^{2x} $$ (1+1/x)^(2x) (1+1/x)^2x
$$ x ~ ln\left(\frac{x-1}{x+1}\right) $$ x*ln((x-1)/(x+1)) x*ln(x-1)/(x+1)
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