Question: Consider the series k = 2 [ ( 1 / k ) ( 1 / ( k + 2 ) ) ] . Does the

Consider the series k=2[(1/k)(1/(k+2))]. Does the series converge? If so, to what value? Hint! Look at the sequence of partial sums. For example:

S4= (1/2-1/4)+(1/3-1/5)+(1/4-1/6)+(1/5-1/7)

Consider the series k=2[(1/k)(1/(k+2))]. Does the series converge? If so, to whatvalue? Hint! Look at the sequence of partial sums. For example:S4= (1/2-1/4)+(1/3-1/5)+(1/4-1/6)+(1/5-1/7)

\f+ HOO SA = COH

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