Final answer to the problem
Step-by-step Solution
Specify the solving method
Evaluate the limit $\lim_{x\to2}\left(\frac{\sqrt{x+2}-2}{x-2}\right)$ by replacing all occurrences of $x$ by $2$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{\sqrt{2+2}-2}{2-2}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(2)lim(((x+2)^1/2-2)/(x-2)). Evaluate the limit \lim_{x\to2}\left(\frac{\sqrt{x+2}-2}{x-2}\right) by replacing all occurrences of x by 2. Subtract the values 2 and -2. Add the values 2 and 2. Calculate the power \sqrt{4}.