\[\frac{2}{1\,!}{{\log }_{e}}2+\frac{{{2}^{2}}}{2\,!}{{({{\log }_{e}}2)}^{2}}+\frac{{{2}^{3}}}{3\,!}{{({{\log }_{e}}2)}^{3}}+.....\infty =\]

\[\frac{2}{1\,!}{{\log }_{e}}2+\frac{{{2}^{2}}}{2\,!}{{({{\log }_{e}}2

1.	\[\frac{2}{1\,!}{{\log }_{e}}2+\frac{{{2}^{2}}}{2\,!}{{({{\log }_{e}}2)}^{2}}+\frac{{{2}^{3}}}{3\,!}{{({{\log }_{e}}2)}^{3}}+.....\infty =\]
A.	2
B.	3
C.	4
D.	None of these
Answer» C. 4

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\[\frac{2}{1\,!}{{\log }_{e}}2+\frac{{{2}^{2}}}{2\,!}{{({{\log }_{e}}2)}^{2}}+\frac{{{2}^{3}}}{3\,!}{{({{\log }_{e}}2)}^{3}}+.....\infty =\]

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