MA104wk11solns - MA104 Week 11 Report Tests for Convergence Name Student Number 1[11 marks Consider the series s = an where an = n=2 Lab Winter 2012 1

MA104wk11solns - MA104 Week 11 Report Tests for Convergence...

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MA104 Week 11 Report - Tests for Convergence Name: Student Number: Lab Winter 2012 1. [11marks] Consider the seriess=n=2anwherean=1n(ln(n))2.(a) Verify that the Integral Test can be applied to this series.[Note: Use Maple to find any derivatives:f:=(x)->???; f’(x); simplify(%);].Letf(x) =1x(ln(x))2 (b) Use the integral test to determine whether the seriessconverges or diverges. Leave result as an exact value.

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