11.2.47 ∑e^(1/n)-e^(1/(n+1)) Determine whether the series is convergent by expressing sn as a ...

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Problem 11.2.47 From James Stewart's Single Variable Calculus - Early Transcendentals 7th edition from chapter 11, Inifinite Sequences and Series - Series
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Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 7). If it is convergent, find its sum.
∑(cos⁡1/n^2 -cos⁡1/((n+1)^2 ))
  1. Sofia Veloso Magioli e Mello
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