Final answer to the problem
$10$
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Step-by-step Solution
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- Solve using L'Hôpital's rule
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- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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1
Factor the difference of squares $x^2-25$ as the product of two conjugated binomials
Learn how to solve limits by factoring problems step by step online.
$\frac{\left(x+5\right)\left(x-5\right)}{x-5}$
Learn how to solve limits by factoring problems step by step online. Find the limit of (x^2-25)/(x-5) as x approaches 5. Factor the difference of squares x^2-25 as the product of two conjugated binomials. Simplify the fraction \frac{\left(x+5\right)\left(x-5\right)}{x-5} by x-5. Evaluate the limit \lim_{x\to5}\left(x+5\right) by replacing all occurrences of x by 5. Add the values 5 and 5.
Final answer to the problem
$10$
