Final Answer
$10$
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Step-by-step Solution
Problem to solve:
$\lim_{x\to3}\left(\frac{x^2+4x-21}{x-3}\right)$
Specify the solving method
1
Factor the trinomial $x^2+4x-21$ finding two numbers that multiply to form $-21$ and added form $4$
$\begin{matrix}\left(-3\right)\left(7\right)=-21\\ \left(-3\right)+\left(7\right)=4\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online.
$\begin{matrix}\left(-3\right)\left(7\right)=-21\\ \left(-3\right)+\left(7\right)=4\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^2+4x-21)/(x-3)). Factor the trinomial x^2+4x-21 finding two numbers that multiply to form -21 and added form 4. Thus. Simplifying. Evaluate the limit \lim_{x\to3}\left(x+7\right) by replacing all occurrences of x by 3.
Final Answer
$10$