I would like to know the answer and explanation for the last part of the questio

Question

I would like to know the answer and explanation for the last part of the question:

p.s The answer is not 8 as answered in:

http://www.chegg.com/homework-help/questions-and-answers/series-convergent-use-alternating-series-estimation-theorem-determine-minimum-number-terms-q7149025

Test the series for convergence or divergence. n=1 Identify bn 1n Evaluate the following limit. lim bn since lino bn = 0 and bn + 1 s bn for all n, the series is convergent | · If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less thn 0.0001? (If the quantity diverges, enter DIVERGES.) 7 x terms

Explanation / Answer

Alternating series Estimation theorem states that error will be < = the first neglected term

so we need to find the term which is <= 0.0001

bn = 1/n*2^n

for n = 7 , we have value = 0.00111 which is >0.0001

for n =9 , we have value = 0.0002 whcih is >0.0001

for n = 10 we have value = 0.00009 which is <0.0001

so we can igonore 10 th term which means we have to consider first 9 terms

so answer is 9 terms ----ANSWER

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