** Final answer to the problem

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** Step-by-step Solution **

** How should I solve this problem?

- Solve using L'H么pital's rule
- Solve without using l'H么pital
- 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
- Integrate by substitution
- Load more...

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If we directly evaluate the limit $\lim_{x\to 5}\left(\frac{x^2-25}{x-5}\right)$ as $x$ tends to $5$, we can see that it gives us an indeterminate form

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We can solve this limit by applying L'H么pital's rule, which consists of calculating the derivative of both the numerator and the denominator separately

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After deriving both the numerator and denominator, the limit results in

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The limit of the product of a function and a constant is equal to the limit of the function, times the constant: $\displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}$

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

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Multiply $2$ times $5$

** Final answer to the problem

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