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