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$\lim_{x\to4}\left(\frac{\sqrt{2x+1}-3}{\sqrt{x-2}-\sqrt{2}}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(4)lim(((2x+1)^1/2-3)/((x-2)^1/2-2^1/2)). Simplifying. Evaluate the limit \lim_{x\to4}\left(\frac{\sqrt{2x+1}-3}{\sqrt{x-2}-\sqrt{2}}\right) by replacing all occurrences of x by 4. Subtract the values 4 and -2. Multiply 2 times 4.