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Evaluate the limit $\lim_{x\to0}\left(\frac{x^2+x}{\sqrt{x+9}-3}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{0^2+0}{\sqrt{0+9}-3}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((x^2+x)/((x+9)^1/2-3)). Evaluate the limit \lim_{x\to0}\left(\frac{x^2+x}{\sqrt{x+9}-3}\right) by replacing all occurrences of x by 0. Add the values 0 and 9. Calculate the power \sqrt{9}. Subtract the values 3 and -3.