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 `oo`, type inf.

Choose a direction:

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

Your input: find $$$\lim_{x \to \infty} \sin{\left(x \right)}$$$

Since sine is periodic, then it does not approach any value as $$$x$$$ approaches infinity (or negative infinity).

Thus, the limit does not exist.

Answer: $$$\lim_{x \to \infty} \sin{\left(x \right)}$$$ does not exist.

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Calculate limits step by step

Solution