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OpenStudy (roadjester):

Consider the following series. (a) Find the partial sums of s1, s2, s3, and s4. Use the pattern to guess a formula for S_n. (b)Use mathematical induction to prove your guess. (c) Show that the given infinite series is convergent and find its sum. I have already done part (a) and have a guess for S_n.

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OpenStudy (anonymous):

is there any addition or attach file?

OpenStudy (roadjester):

\[\sum_{n=1}^{\infty}{n\over {(n+1)!}}\] \[S_n = {{{{(n+1)!}-1}}\over {(n+1)!}}\]

OpenStudy (anonymous):

|dw:1338182723873:dw|

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