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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}.

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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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How to Determine the Limits of Functions

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Chapter 6 / Lesson 4
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