Final answer to the problem
$\frac{1}{10}$
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Step-by-step Solution
How should I solve this problem?
- Solve the limit using factorization
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
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1
Applying rationalisation
$\lim_{x\to25}\left(\frac{\sqrt{x}-5}{x-25}\frac{\sqrt{x}+5}{\sqrt{x}+5}\right)$
Learn how to solve problems step by step online.
$\lim_{x\to25}\left(\frac{\sqrt{x}-5}{x-25}\frac{\sqrt{x}+5}{\sqrt{x}+5}\right)$
Learn how to solve problems step by step online. Find the limit of (x^(1/2)-5)/(x-25) as x approaches 25. Applying rationalisation. Multiply and simplify the expression within the limit. Simplify the fraction \frac{x-25}{\left(x-25\right)\left(\sqrt{x}+5\right)} by x-25. Evaluate the limit \lim_{x\to25}\left(\frac{1}{\sqrt{x}+5}\right) by replacing all occurrences of x by 25.
Final answer to the problem
$\frac{1}{10}$
Exact Numeric Answer
$0.1$
