Find the Sum of the Series $\frac { 2 } { 1.9 } - \frac { 2 ^ { 2 } } { 2.9 ^ { 2 } } + \frac { 2 ^ { 3 } } { 3.9 ^ { 3 } } - \frac { 2 ^ { 4 } } { 4.9 ^ { 4 } } + \ldots$

question 14

Multiple Choice

Find the sum of the series. $\frac { 2 } { 1.9 } - \frac { 2 ^ { 2 } } { 2.9 ^ { 2 } } + \frac { 2 ^ { 3 } } { 3.9 ^ { 3 } } - \frac { 2 ^ { 4 } } { 4.9 ^ { 4 } } + \ldots$

• A) \(\frac { 11 e } { 9 }\)
• B) \(\ln \left( \frac { 1 } { 9 } \right)\)
• C) \(\frac { 11 } { 9 }\)
• D) \(\ln \left( \frac { 11 } { 9 } \right)\)
• E) \(\ln \left( \frac { 10 } { 9 } \right)\)

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