1. For question 1; consider the sequence and answer the following questions: a. Write the first 10 terms of the sequence. b. Is the sequence bounded or unbounded? If it is bounded provide the bounds? Explain your reasoning. c. Is the sequence monotonic or not? Explain how you know. d. Does the sequence converge or diverge? Use the monotonic convergence theorem to justify your reasoning. e. If the sequence has a limit, find the limit. Show all of your work. 1 An = nn² This series is n to the power of 1 over n squared.

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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.