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Use partial fractions to rewrite the sum of two fractions

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Reference no: EM131139414

1. Let an = (-1)n, compute limn→∞an.

2. Let bn = sin(πn/8), for n > 0.

  • Compute the limit of an.
  • Let sn be the sum of first n elements of an. That is, sn = i=1∑n an. Write out the first 8 element of sn.
  • Use partial fractions to rewrite an as the sum of two fractions.
  • Find a closed from expression for sn.
  • Using your expression for sn, compute limn→∞ sn. What is n=1∑∞ an?

Reference no: EM131139414

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