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How to evaluate the limit as t approaches infinity of (-12t^-5)?

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Final answer:

The limit as t approaches infinity of (-12t^-5) is 0, because the negative exponent indicates t is in the denominator, and as t grows, the fraction approaches zero.

Step-by-step explanation:

The question is asking how to evaluate the limit as t approaches infinity of the expression (-12t-5).

To solve this, recall that as t approaches infinity, any term with t in the denominator approaches zero if the exponent of t is positive.

The negative exponent in this case indicates that t is in the denominator.

Therefore, we can rewrite the expression as (-12 / t5). As t approaches infinity, the entire denominator will grow without bound, making the value of the fraction as a whole approach zero. As a result, the limit of (-12t-5) as t approaches infinity is 0.

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