Final answer to the problem
$-6$
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Step-by-step Solution
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- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
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1
Evaluate the limit $\lim_{x\to-6}\left(\sqrt{x+6}+x\right)$ by replacing all occurrences of $x$ by $-6$
$\sqrt{-6+6}-6$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x+6)^(1/2)+x as x approaches -6. Evaluate the limit \lim_{x\to-6}\left(\sqrt{x+6}+x\right) by replacing all occurrences of x by -6. Subtract the values 6 and -6. Calculate the power \sqrt{0}. Subtract the values 0 and -6.
Final answer to the problem
$-6$
