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Steps for Radio test
Assume we have the series ∑an Define,
Then,
a. If L<1 the series is absolutely convergent and therefore convergent.
b. If L>1 the series is divergent.
c. If L = 1 the series might be divergent, this is conditionally convergent, or absolutely convergent.
(a) The generating function G(z) for a sequence g n is given by G(z) = 1 - 2z/(1 + 3z)3 Give an explicit formula for g n . (b) For the sequence gn in the previous part co
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