n + 5 Use the ratio test to determine whether converges or diverges. n! n=8 Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n> 8, an+1 lim = lim n-00 an n-00 Evaluate the limit in the previous part. Enter o as infinity and -o as -infinity. If the limit does not exist, enter DNE. an+1 lim n-00 an By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

Q: 3. {V21+3n

A: Recall: A Sequence is said to be convergent if it approaches some limit.i.e, A sequence <an>…

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A:

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A: The description of the limits are given. We have to identify the required values.

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A: We have to solve the limits.

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A: Here we have concave upward and concave downward.

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Q: 3. Show that if x1 = 1 and if In+1 Van + 2 for n E N, then the sequence (xn) is monotone and…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.