Find the Sum of the Series A) $\ln \left( \frac { 4 } { 3 } \right)$

question 154

Multiple Choice

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

• A) \(\ln \left( \frac { 4 } { 3 } \right)\)
• B) \(\frac { 5 e } { 3 }\)
• C) \(\ln \left( \frac { 5 } { 3 } \right)\)
• D) \(\ln \left( \frac { 1 } { 3 } \right)\)
• E) \(e ^ { 5 / 3 }\)

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