# Evaluate the limit, if it exists. \lim \frac{t^2-64}{2t^2+17t+8} \left(t-8\right) . Show...

## Question:

Evaluate the limit, if it exists.

{eq}\lim \frac{t^2-64}{2t^2+17t+8} \left(t-8\right) {/eq}.

Show steps!

## Limit:

We have to evaluate the limit.

Here, in our problem, we use the factorization method to evaluate the value of a limit.

In the numerator, we apply the mathematical identity and in the denominator, we use the factorization method. Then cancel the common factor and finally substitute the value of the limit.

## Answer and Explanation:

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Given

{eq}\lim_{t \rightarrow -8} \dfrac{t^2-64}{2t^2+17t+8} {/eq}.

We have to evaluate the limit.

{eq}\begin{align} \lim_{t \rightarrow...

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