Final Answer
$3$
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Step-by-step Solution
Problem to solve:
$\lim_{x\to5}\left(\frac{x^2-7x+10}{x-5}\right)$
Specify the solving method
1
Factor the trinomial $x^2-7x+10$ finding two numbers that multiply to form $10$ and added form $-7$
$\begin{matrix}\left(-2\right)\left(-5\right)=10\\ \left(-2\right)+\left(-5\right)=-7\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online.
$\begin{matrix}\left(-2\right)\left(-5\right)=10\\ \left(-2\right)+\left(-5\right)=-7\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(5)lim((x^2-7x+10)/(x-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.
Final Answer
$3$