Final answer to the problem
indeterminate
Step-by-step Solution
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- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- 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
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1
The power of a product is equal to the product of it's factors raised to the same power
$\lim_{x\to0}\left(\frac{x^2+x}{\sqrt{x^2+2}-\sqrt{2}\sqrt{x+1}}\right)$
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$\lim_{x\to0}\left(\frac{x^2+x}{\sqrt{x^2+2}-\sqrt{2}\sqrt{x+1}}\right)$
Learn how to solve problems step by step online. Find the limit of (x^2+x)/((x^2+2)^(1/2)-(2x+2)^(1/2)) as x approaches 0. The power of a product is equal to the product of it's factors raised to the same power. Evaluate the limit \lim_{x\to0}\left(\frac{x^2+x}{\sqrt{x^2+2}-\sqrt{2}\sqrt{x+1}}\right) by replacing all occurrences of x by 0. Add the values 0 and 1. Calculate the power 0^2.
Final answer to the problem
indeterminate
