Series Convergence and Divergence

  • Thread starter Luscinia
  • Start date
  • #1
17
0

Homework Statement


Determine if the following series converges or diverges. If it converges determine its sum.
Ʃ1/(i2-1) where the upper limit is n and the index i=2


Homework Equations



The General Formula for the partial sum was given:
Sn=Ʃ1/(i2-1)=3/4-1/(2n)-1/(2(n+1)

The Attempt at a Solution


I have no idea where to start. I tried to get the General Formula, but I am really confused as to how to even start. I tried to split the function with partial fractions and somehow got 1/(2(i+1))-1/(2(i-1))
 

Answers and Replies

  • #2
17
0
oops! I got it. It's a telescopic sum. I need to open my eyes a little more.
 

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