Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve without using l'Hôpital
- Solve using L'Hôpital's rule
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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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 of (x^2+x)/((x+9)^1/2-3) as x approaches 0. 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.