Limit Calculator

This free calculator will try to find the limit (two-sided or one-sided, including left and right) of the given function at the given point (including infinity), with steps shown.

Different techniques are used to handle limits (including indeterminate forms): limit laws, rewriting and simplifying, L'Hôpital's rule, rationalizing the denominator, taking natural logarithm, etc.

Enter a function:

Choose a variable:

Find the limit at:

If you need

$\displaystyle{\large{\infty}}$ , type inf.

Choose a direction:

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Solution

Your input: find $\lim_{x \to 1}\left(x^{3} - 3 x^{2}\right)$

Substitute the variable with the value:

${\color{red}{\lim_{x \to 1}\left(x^{3} - 3 x^{2}\right)}} = {\color{red}{\left(-2\right)}}$

Therefore,

$\lim_{x \to 1}\left(x^{3} - 3 x^{2}\right) = -2$

Answer: $\lim_{x \to 1}\left(x^{3} - 3 x^{2}\right)=-2$

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Solution