Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using limit properties
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- 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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Applying rationalisation
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$\lim_{x\to-20}\left(\frac{\sqrt{x+31}-\sqrt{11}}{x+20}\frac{\sqrt{x+31}+\sqrt{11}}{\sqrt{x+31}+\sqrt{11}}\right)$
Learn how to solve problems step by step online. Find the limit of ((x+31)^(1/2)-11^(1/2))/(x+20) as x approaches -20. Applying rationalisation. Multiply and simplify the expression within the limit. Subtract the values 31 and -11. Simplify the fraction \frac{x+20}{\left(x+20\right)\left(\sqrt{x+31}+\sqrt{11}\right)} by x+20.