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$\large\frac{1}{2}-\frac{1}{2, 2^2}+\frac{1}{3.2^3}-\frac{1}{4.2^4}+.........$ is equal to

\[\begin {array} {1 1} (a)\;\frac{1}{4} & \quad (b)\;\log_3 \bigg( \frac{3}{4}\bigg) \\ (c)\;\log_e \bigg(\frac{3}{2}\bigg) & \quad (d)\;\log_e \bigg( \frac{2}{3} \bigg ) \end {array}\]
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1 Answer

$ (c)\;\log_e \bigg(\frac{3}{2}\bigg)$
answered Nov 7, 2013 by pady_1
edited Jan 20, 2014 by meena.p
 

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