Limit Calculator
Calculate limits step by step
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.
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: $$$\lim_{x \to 1}\left(x^{2} + 2 x + 5\right)=8$$$
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