## Final Answer

## Step-by-step Solution

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

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

Learn how to solve limits by factoring 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. Thus. Simplifying. Evaluate the limit \lim_{x\to5}\left(x-2\right) by replacing all occurrences of x by 5.