** Final answer to the problem

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** Step-by-step Solution **

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- 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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Factor the trinomial $x^2-7x+10$ finding two numbers that multiply to form $10$ and added form $-7$

Learn how to solve limits by direct substitution problems step by step online.

$\begin{matrix}\left(-2\right)\left(-5\right)=10\\ \left(-2\right)+\left(-5\right)=-7\end{matrix}$

Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^2-7x+10)/(x-5) as x approaches 5. Factor the trinomial x^2-7x+10 finding two numbers that multiply to form 10 and added form -7. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Simplifying. Evaluate the limit \lim_{x\to5}\left(x-2\right) by replacing all occurrences of x by 5.

** Final answer to the problem

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