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For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S, }. Then evaluate lim S, to

For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S, }. Then evaluate lim S, to obtain the value of the series or state that the series diverges. n -+ co 20 " M 8 (4k - 1)(4k + 3)

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