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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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is there any addition or attach file?
\[\sum_{n=1}^{\infty}{n\over {(n+1)!}}\] \[S_n = {{{{(n+1)!}-1}}\over {(n+1)!}}\]
|dw:1338182723873:dw|
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