find the limit of the following sequence or state it diverges Select the correct

Question

find the limit of the following sequence or state it diverges Select the correct choice below and, if necessary, fill in the answer box to complete your choice (type an exact answer.) A. The sequence is monotonic, and it is bounded. It also converges, and the limit is [ ]. B. The sequence is not monotonic, but it is bounded. It also converges- and the limit is []. C. The sequence is not monotonic, and it is unbounded. It also diverges. D. The sequence is monotonic, but it is unbounded. It also diverges.

Explanation / Answer

By drawing the figure, we can find that the function is a function that ha sdecreasing and increasing parts.

So, the function is not monotonic.

And clearly, from the graph, it is not unbounded because it has maxima and minima but as x ---> infinity, y --> 0

So, we can state option B --> ANSWER

The limit is 0 ---> ANSWER

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