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Determine Whether the Series 1−12+14−18+⋯1 - \frac { 1 } { 2 } + \frac { 1 } { 4 } - \frac { 1 } { 8 } + \cdots

Question 279

Essay

Determine whether the series 1−12+14−18+⋯1 - \frac { 1 } { 2 } + \frac { 1 } { 4 } - \frac { 1 } { 8 } + \cdots is convergent or divergent. If it is convergent, find its sum.

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