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Find the Sum of the Series

question 45

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Find the sum of the series.
21322232+2333324434+\frac { 2 } { 1 \cdot 3 } - \frac { 2 ^ { 2 } } { 2 \cdot 3 ^ { 2 } } + \frac { 2 ^ { 3 } } { 3 \cdot 3 ^ { 3 } } - \frac { 2 ^ { 4 } } { 4 \cdot 3 ^ { 4 } } + \ldots


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