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Unformatted text preview: n = n =1 n +16 n 3n 2 (b) n = n =1 e ( n n 25 ) (c) n = n =1 cos( n )+1+16 n 14 nn 5. Suppose n = n =1 a n =1 and s n is the n th partial sum of the series. What is lim n a n ? What is lim n s n ? 6. If the n th partial sum of a series n = n =1 a n is s n = ln ( n + 1), n 1, nd a n , n 1, and determine if n = n =1 a n converges. If it does, nd the sum. 7. Suppose n = n =1 a n converges. Does n = n =1 ( a n + 1 n ) converge? (Hint: If it did converge you could take the dierence of n = n =1 ( a n + 1 n ) and n = n =1 a n and conclude something.)...
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 Spring '08
 Johns
 Calculus

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