Final Answer
$1$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\lim_{x\to3}\left(\frac{x^2-5x+6}{x-3}\right)$
Specify the solving method
1
Factor the trinomial $x^2-5x+6$ finding two numbers that multiply to form $6$ and added form $-5$
$\begin{matrix}\left(-2\right)\left(-3\right)=6\\ \left(-2\right)+\left(-3\right)=-5\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online.
$\begin{matrix}\left(-2\right)\left(-3\right)=6\\ \left(-2\right)+\left(-3\right)=-5\end{matrix}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^2-5x+6)/(x-3)). Factor the trinomial x^2-5x+6 finding two numbers that multiply to form 6 and added form -5. Thus. Simplifying. Evaluate the limit \lim_{x\to3}\left(x-2\right) by replacing all occurrences of x by 3.
Final Answer
$1$