Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using direct substitution
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- 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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$\lim_{x\to0}\left(\frac{\sqrt{5+x}-\sqrt{5}}{x}\frac{\sqrt{5+x}+\sqrt{5}}{\sqrt{5+x}+\sqrt{5}}\right)$
Learn how to solve problems step by step online. Find the limit of ((5+x)^(1/2)-5^(1/2))/x as x approaches 0. Applying rationalisation. Multiply and simplify the expression within the limit. Subtract the values 5 and -5. Simplify the fraction \frac{x}{x\left(\sqrt{5+x}+\sqrt{5}\right)} by x.