Final answer to the problem
$4$
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Step-by-step Solution
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1
Calculate the power $\sqrt{4}$
$\lim_{x\to-2}\left(\frac{\left(2+\sqrt{1x^2}\right)\left(\sqrt{4}-\sqrt{1x^2}\right)}{2+x}\right)$
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$\lim_{x\to-2}\left(\frac{\left(2+\sqrt{1x^2}\right)\left(\sqrt{4}-\sqrt{1x^2}\right)}{2+x}\right)$
Learn how to solve problems step by step online. Find the limit (x)->(-2)lim((4-x^2)/(2+x)). Calculate the power \sqrt{4}. Any expression multiplied by 1 is equal to itself. 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{4}.
Final answer to the problem
$4$
Exact Numeric Answer
$4$