If \[b=a-\frac{{{a}^{2}}}{2}+\frac{{{a}^{3}}}{3}-\frac{{{a}^{4}}}{4}+..\]then \[b+\frac{{{b}^{2}}}{2\,!}+\frac{{{b}^{3}}}{3\,!}+\frac{{{b}^{4}}}{4\,!}+...\infty =\]

If \[b=a-\frac{{{a}^{2}}}{2}+\frac{{{a}^{3}}}{3}-\frac{{{a}^{4}}}{4}+.

1.	If \[b=a-\frac{{{a}^{2}}}{2}+\frac{{{a}^{3}}}{3}-\frac{{{a}^{4}}}{4}+..\]then \[b+\frac{{{b}^{2}}}{2\,!}+\frac{{{b}^{3}}}{3\,!}+\frac{{{b}^{4}}}{4\,!}+...\infty =\]
A.	\[{{\log }_{e}}a\]
B.	\[{{\log }_{e}}b\]
C.	\[a\]
D.	\[{{e}^{a}}\]
Answer» D. \[{{e}^{a}}\]

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If \[b=a-\frac{{{a}^{2}}}{2}+\frac{{{a}^{3}}}{3}-\frac{{{a}^{4}}}{4}+..\]then \[b+\frac{{{b}^{2}}}{2\,!}+\frac{{{b}^{3}}}{3\,!}+\frac{{{b}^{4}}}{4\,!}+...\infty =\]

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