The Series \sum ↙\stackrel{\infty}{n = 0}⁡ (2x) ^{n} converges if:

−\frac{1}{2} \leq x \leq \frac{1}{2}

−\frac{1}{2} < x < \frac{1}{2}

AAI ATC Junior Executive 2016 Shift 2 Paper

Question : 94 of 120

Marks: +1, -0

The Series

∑ ↙{n = 0}↖{∞}⁡ (2x) ^{n}

converges if:

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