Limit Calculator

This free calculator will 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.

Enter a function:

Choose a variable:

Find the limit at:

If you need `oo`, type inf.

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Solution

Your input: find $$$\lim_{x \to 1}\left(x^{2} + 2 x + 5\right)$$$

Substitute the variable with the value:

$$\color{red}{\lim_{x \to 1}\left(x^{2} + 2 x + 5\right)} = \color{red}{\left(8\right)}$$

Therefore,

$$\lim_{x \to 1}\left(x^{2} + 2 x + 5\right) = 8$$

Answer: $$$\lim_{x \to 1}\left(x^{2} + 2 x + 5\right)=8$$$