MA104lab9solns - MA104 Lab Report 9 Absolute Convergence Power Series Name Student Number 1[11 marks Consider the series s = 1 3 an where an = n=1 n=1 n

MA104lab9solns - MA104 Lab Report 9 Absolute Convergence...

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MA104 Lab Report 9 - Absolute Convergence; Power Series Name: Student Number: Lab Winter 2015 1. [11marks]Consider the seriess=anwherean=-134.(a) Determine the sum of the seriess=n=1-1n3n+1. X n =1 n 3 n +1 (b) Issabsolutely convergent or conditionally convergent? Explain your answer. (c) Use the Root Testto verify that the series is absolutely convergent. (d) Determine:(i)s+,the sum of the positive terms of the series.(ii)s-,the sum of the negative terms of the series.

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