Consider the series (a) Find the partial sums s1, s2, s3, and s4. Do you recognize the

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Consider the series
Consider the series 
(a) Find the partial sums s1, s2,

(a) Find the partial sums s1, s2, s3, and s4. Do you recognize the denominators? Use the pattern to guess a formula for sn.
(b) Use mathematical induction to prove your guess.
(c) Show that the given infinite series is convergent, and find its sum.

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