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QUESTION

For what values of a does the following series converge?

For what values of a does the following series converge?summation from 1 to infinity of (2/a)^n

∞ 2( a )n is a geometric series. n=0 It converges if and only if ⇔a>2 or a < −2 2| a | < 1 ⇔ −1 < 1 2 a <1
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