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Convergence, Divergence and Sums of Series

Could you please check if the answers are right?

Please see the attached file for the fully formatted problems.


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It is not clear from you assignment whether you have already learned that

sum_{k=0}^infinity (x^k/k!) = e^x = exp(x)

If you did not study it yet, disregard my regards involving e^x below.

Question 1:
You did it correctly.
Since the term sign alternates and the term absolute value tends to 0 monotonously, the last term taken into ...

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Convergence, Divergence and Sums of Series are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.