Question

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8). sum_{n=2}^{infinity} 6 / (n^2 - 1) convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

          Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8).

sum_{n=2}^{infinity} 6 / (n^2 - 1)

convergent
divergent

If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8).

sumn=2^infinity 6 / (n^2 - 1)

convergent
divergent

If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Added by Ana S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

11/21/2021

Step 1

Step 1: Rewrite the series as a telescoping sum by expressing \( \frac{n^2 - 1}{n(n+1)} \) as partial fractions. Show more…

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Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8). convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)