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Evaluate the limit $\lim_{x\to4}\left(\frac{\sqrt{5+x}-\sqrt{13-x}}{x-4}\right)$ by replacing all occurrences of $x$ by $4$
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$\frac{\sqrt{5+4}-\sqrt{13-4}}{4-4}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(4)lim(((5+x)^1/2-(13-x)^1/2)/(x-4)). Evaluate the limit \lim_{x\to4}\left(\frac{\sqrt{5+x}-\sqrt{13-x}}{x-4}\right) by replacing all occurrences of x by 4. Subtract the values 4 and -4. Subtract the values 13 and -4. Add the values 5 and 4.