Here, we show you a step-by-step solved example of limits. This solution was automatically generated by our smart calculator:
Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Calculate the power $\sqrt{25}$
Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Calculate the power $\sqrt{25}$
Multiply $-1$ times $5$
Factor the difference of squares $x^2-25$ as the product of two conjugated binomials
Simplify the fraction $\frac{\left(x+5\right)\left(x-5\right)}{x-5}$ by $x-5$
Evaluate the limit $\lim_{x\to5}\left(x+5\right)$ by replacing all occurrences of $x$ by $5$
Add the values $5$ and $5$
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