The sum of the series\[\frac{1}{1.2}+\frac{1.3}{1.2.3.4}+\frac{1.3.5}{1.2.3.4.5.6}+.....\infty \] is [Kurukshetra CEE 2002]

The sum of the series\[\frac{1}{1.2}+\frac{1.3}{1.2.3.4}+\frac{1.3.5}{

1.	The sum of the series\[\frac{1}{1.2}+\frac{1.3}{1.2.3.4}+\frac{1.3.5}{1.2.3.4.5.6}+.....\infty \] is [Kurukshetra CEE 2002]
A.	\[15e\]
B.	\[{{e}^{1/2}}+e\]
C.	\[{{e}^{1/2}}-1\]
D.	\[{{e}^{1/2}}-e\]
Answer» D. \[{{e}^{1/2}}-e\]

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The sum of the series\[\frac{1}{1.2}+\frac{1.3}{1.2.3.4}+\frac{1.3.5}{1.2.3.4.5.6}+.....\infty \] is [Kurukshetra CEE 2002]

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