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$\lim_{x\to0}\left(\frac{x}{\sqrt{x+2}-\sqrt{2}}\right)$
Learn how to solve problems step by step online. Find the limit (x)->(0)lim(x/((x+2)^1/2-2^1/2)). Simplifying. Evaluate the limit \lim_{x\to0}\left(\frac{x}{\sqrt{x+2}-\sqrt{2}}\right) by replacing all occurrences of x by 0. Add the values 0 and 2. Calculate the power \sqrt{2}.