Unformatted text preview: By part a), the n th term test (for divergence) is inconclusive. However, the series ∞ X n =1 5 12 n = 5 ∞ X n =0 ± 1 12 ² n +1 = 5 12 ∞ X n =0 ± 1 12 ² n is a geometric series with r = 1 12 which is convergent and its sum is given by ∞ X n =1 5 12 n = 5 12 · 1 1(1 / 12) = 5 11 ....
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 Fall '10
 KIHYUNHYUN
 Calculus, Limit, lim, nth term test

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