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Determine the Sum of the Infinite Series k=0(12)2k\sum _ { k = 0 } ^ { \infty } \left( \frac { 1 } { 2 } \right) ^ { 2 k }

question 37

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Determine the sum of the infinite series: k=0(12) 2k\sum _ { k = 0 } ^ { \infty } \left( \frac { 1 } { 2 } \right) ^ { 2 k } .


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