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Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{x+h}-\sqrt{h}}{h}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\sqrt{0+h}-\sqrt{h}}{h}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((x+h)^1/2-h^1/2)/h as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{x+h}-\sqrt{h}}{h}\right) by replacing all occurrences of x by 0. x+0=x, where x is any expression. Cancel like terms \sqrt{h} and -\sqrt{h}. Zero divided by anything is equal to zero.