**Unformatted text preview: **(a) ∞ ∑ n =1 cos( nπ ) n 3 / 4 (b) ∞ ∑ n =1 (-1) n 3 n n ! n n (c) ∞ ∑ n =1 (-1) n n ln( n ) 5. Consider the inﬁnite series 2 5-2 · 6 5 · 8 + 2 · 6 · 10 5 · 8 · 11-2 · 6 · 10 · 14 5 · 8 · 11 · 14- ··· (a) Based on the pattern give a formula for the n th term of the series. (b) Test the series for convergence. 6. Find the values of p for which the following series converges ∞ X n =1 1 n (ln( n )) p . 1...

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