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MATHEMATICS - CASE STUDY

    Introduction


Problem Diagram
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In order for Peter to be admitted into the doctoral program at the School of Mathematics, he has to pass the qualifying exam. During the oral portion of the exam, Peter is struggling to recall how to obtain the partial sum of a series using the integral test concept. Could you help him out?

   
  Questions

 

Estimate the sum of the series Σ(1/n3) using the partial sum of the first five terms. What is the error involved?

     
    Approach

   
  • Approximate the sum using the midpoint of the lower and upper bound for S given by the inequalities presented in the theory section.