Find the Sum of the Infinite Geometric Series $\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots$

question 63

Essay

Find the sum of the infinite geometric series $\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots$ .

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