\[1+\frac{a-b}{a}+\frac{1}{2\,!}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3\,!}{{\left( \frac{a-b}{a} \right)}^{3}}+......\infty =\]

\[1+\frac{a-b}{a}+\frac{1}{2\,!}{{\left( \frac{a-b}{a} \right)}^{2}}+\

1.	\[1+\frac{a-b}{a}+\frac{1}{2\,!}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3\,!}{{\left( \frac{a-b}{a} \right)}^{3}}+......\infty =\]
A.	\[x=\]
B.	\[{{e}^{a}}\]
C.	\[\frac{e}{{{e}^{b/a}}}\]
D.	\[\frac{e}{{{e}^{a/b}}}\]
Answer» D. \[\frac{e}{{{e}^{a/b}}}\]

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\[1+\frac{a-b}{a}+\frac{1}{2\,!}{{\left( \frac{a-b}{a} \right)}^{2}}+\frac{1}{3\,!}{{\left( \frac{a-b}{a} \right)}^{3}}+......\infty =\]

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