Final Answer
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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 $\frac{1}{2}$
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$\lim_{x\to9}\left(\frac{\left(x+\sqrt{81}\right)\left(\sqrt{x^2}-\sqrt{81}\right)}{x-9}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(9)lim((x^2-81)/(x-9)). 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{81}. 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{81}.