Answer: Limits Evaluate the following limits

Chapter 13, Problem 36E

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QUESTION:

33-36. Limits Evaluate the following limits.

\(\lim _{t \rightarrow 2}\left(\frac{t}{t^{2}+1} \mathbf{i}-4 e^{-t} \sin \pi t \mathbf{j}+\frac{1}{\sqrt{4 t+1}} \mathbf{k}\right)\)

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QUESTION:

33-36. Limits Evaluate the following limits.

\(\lim _{t \rightarrow 2}\left(\frac{t}{t^{2}+1} \mathbf{i}-4 e^{-t} \sin \pi t \mathbf{j}+\frac{1}{\sqrt{4 t+1}} \mathbf{k}\right)\)

ANSWER:

Solution 36EStep 1:We need to evaluate the limit

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