Final answer to the problem
$\frac{1}{8}$
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Step-by-step Solution
How should I solve this problem?
- Solve the limit using rationalization
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
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1
Applying rationalisation
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to10}\left(\frac{\sqrt{x+6}-4}{x-10}\frac{\sqrt{x+6}+4}{\sqrt{x+6}+4}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((x+6)^(1/2)-4)/(x-10) as x approaches 10. Applying rationalisation. Multiply and simplify the expression within the limit. Subtract the values 6 and -16. Simplify the fraction \frac{x-10}{\left(x-10\right)\left(\sqrt{x+6}+4\right)} by x-10.
Final answer to the problem
$\frac{1}{8}$
Exact Numeric Answer
$0.125$
