** Final answer to the problem

$10$

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**** Step-by-step Solution **

** How should I solve this problem?

- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- 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
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1

Factor the difference of squares $x^2-25$ as the product of two conjugated binomials

$\frac{\left(x+5\right)\left(x-5\right)}{x-5}$

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2

Simplify the fraction $\frac{\left(x+5\right)\left(x-5\right)}{x-5}$ by $x-5$

$x+5$

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3

Evaluate the limit $\lim_{x\to5}\left(x+5\right)$ by replacing all occurrences of $x$ by $5$

$5+5$

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4

Add the values $5$ and $5$

$10$

** Final answer to the problem

$10$

**