Mar 30, 2018 · I am somewhat stuck on this proof of the alternating series test, could you please point me to the right direction ? Let $(a_n)$ be a decreasing sequence that converges to $0$. Prove that …

Dec 29, 2020 · (a) Produce the Alternating Series Test by showing that $ (s_n)$ is a Cauchy sequence. (b) Supply another proof for this result using the Nested Interval Property. (c) Consider the …

May 1, 2018 · Actually you can use alternating series test because the summand converges to $0$ decreasingly. I think the 'doubt' of OP isn't whether we should use alternating series test, but whether …

How to find the sum of an alternating series? Ask Question Asked 12 years, 11 months ago Modified 1 year, 4 months ago

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Apr 2, 2011 · I am trying to understand why does the limit comprasion test doesn't work for alternating series, is it even true? or is there a counter example? I can't find one. can you help me please? …

0 Alright - how's this for a generalization? When a Taylor polynomial expansion P (x) for function f (x) happens to alternate in signs, then both the Alternating Series Estimation Theorem and the Lagrange …

Dec 20, 2014 · Computing the limit of an alternating series, Ask Question Asked 10 years, 11 months ago Modified 10 years, 11 months ago

Jul 28, 2008 · Alternating Series and P-series "convergence" I couldn't resist trying out a pun. Anyway, onto the question: Homework Statement Test the series for...

Proving that this series converges can be done using the alternating series test: any series that alternates forever between positive and negative terms, where each term is smaller than the …