# For the following telescoping series, find a formula for the nth term of the sequence of partial sums (Sn). Then evaluate lim Sn to obtain the value of the series orstate that the series diverges.n-00Σ(2 cot-1(k + 1)-2cot-k)k-1

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241 views help_outlineImage TranscriptioncloseFor the following telescoping series, find a formula for the nth term of the sequence of partial sums (Sn). Then evaluate lim Sn to obtain the value of the series or state that the series diverges. n-00 Σ (2 cot-1(k + 1)-2cot-k) k-1 fullscreen
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Step 1

To find a formula for the nth term of the sequence of partial sums (Sn). Consider the given telescoping series and find some of the terms.

Step 2

Find the formula for the nth partial sum as follows.

Step 3

Evaluate the limit of Sn as n t...

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