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. 11 Σ 11 k k= 1 k+ 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim Sn= (Type an integer or a fraction.) O B. The series diverges.

Question

9.

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.
11
Σ
11
k
k= 1
k+ 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA.
lim Sn=
(Type an integer or a fraction.)
O B. The series diverges.
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Transcribed Image Text

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. 11 Σ 11 k k= 1 k+ 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim Sn= (Type an integer or a fraction.) O B. The series diverges.