[Steps Shown] By considering the partial sums, prove directly that the series ∑_n=1^∞((1)/(√n)-(1)/(√n+1))


Question: By considering the partial sums, prove directly that the series

\[\sum_{n=1}^{\infty}\left(\frac{1}{\sqrt{n}}-\frac{1}{\sqrt{n+1}}\right)\]

converges.

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document

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