generals336

## Answered question

2021-11-01

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
$\underset{w\to {3}^{-}}{lim}\frac{|w-3|}{{w}^{2}-7w+12}$

### Answer & Explanation

Laith Petty

Skilled2021-11-02Added 103 answers

Given information:
$\underset{w\to {3}^{-}}{lim}\frac{|w-3|}{{w}^{2}-7w+12}$
First, simplify the expression and then apply the limit.
$\underset{w\to {3}^{-}}{lim}\frac{|w-3|}{{w}^{2}-7w+12}=$ Left hand side limit
$=\underset{w\to {3}^{-}}{lim}\frac{-\left(w-3\right)}{\left(w-4\right)\left(w-3\right)}$
$=\underset{w\to {3}^{-}}{lim}\frac{-1}{\left(w-4\right)}$
$=1$

Jeffrey Jordon

Expert2022-07-04Added 2575 answers

Answer is given below (on video)

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