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question 9 evaluate the limit: $lim_{x \to 4}\frac{x^{2}+2x - 4}{x + 1}…

Question

question 9
evaluate the limit: $lim_{x \to 4}\frac{x^{2}+2x - 4}{x + 1}$.
dne
0
4
5
$infty$

Explanation:

Step1: Substitute x = 4

Substitute \(x = 4\) into the function \(\frac{x^{2}+2x - 4}{x + 1}\).
\[

$$\begin{align*} \frac{4^{2}+2\times4-4}{4 + 1}&=\frac{16+8 - 4}{5}\\ &=\frac{20}{5} \end{align*}$$

\]

Step2: Simplify the result

Simplify \(\frac{20}{5}\).
\(\frac{20}{5}=4\)

Answer:

C. 4