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Consider the series verge

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Reference no: EM131407350

KOBI SNITZ

(1) Consider the sequence an = 22n - 2. Can this sequence be defined recursively ? If so, define it recursively.

(2) Let an = 4 - n12 does this sequence converge to a limit. If so what is that limit and show that the sequence does converge to the limit in according to the definition on page 4 in section 10.1. P ∞ 1

(3) Let an = n1.003 n=1 an . Does the series con+56 and consider the series verge ? explain why it dos or does not. P∞

(4) Use an appropriate test to check if the series n=1 exp(-n) converges or diverges. 1

Reference no: EM131407350

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