Question: Consider the series (a) Find the partial sums and s1, s2, s3. Do you recognize the denominators? Use the pattern to guess a formula for

Consider the series

(a) Find the partial sums and s1, s2, s3. 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.

(n + 1)!

(n + 1)!

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a For n1 n 1 23 24 84 n 4 12345 b For n 1 81 1 c lim sn lim 818 1 2 2 1 2 Sk1 12 119 120 ... View full answer

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