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Worksheet: nth Partial Sum of Infinite Series

Q1:

Consider the series ∞ 𝑛 = 1 ο„š ο€Ό 𝑛 + 1 𝑛  l n .

Give an exact expression for the partial sum 𝑀 𝑛 = 1 ο„š ο€Ό 𝑛 + 1 𝑛  l n .

  • A l n ο€Ό 𝑀 𝑀 βˆ’ 1 
  • B l n 𝑀
  • C l n ( 𝑀 βˆ’ 1 )
  • D l n ( 𝑀 + 1 )
  • E l n ο€Ό 𝑀 𝑀 + 1 

Is the series convergent?

  • Ano
  • Byes