\[{{e}^{\left( x\,-\,\frac{1}{2}{{(x\,-\,1)}^{2}}\,+\,\frac{1}{3}{{(x\,-\,1)}^{3}}\,-\,\frac{1}{4}{{(x\,-\,1)}^{4}}+....... \right)}}\] is equal to [DCE 2001]

\[{{e}^{\left( x\,-\,\frac{1}{2}{{(x\,-\,1)}^{2}}\,+\,\frac{1}{3}{{(x\

1.	\[{{e}^{\left( x\,-\,\frac{1}{2}{{(x\,-\,1)}^{2}}\,+\,\frac{1}{3}{{(x\,-\,1)}^{3}}\,-\,\frac{1}{4}{{(x\,-\,1)}^{4}}+....... \right)}}\] is equal to [DCE 2001]
A.	\[\log x\]
B.	\[\log (x-1)\]
C.	x
D.	None of these
Answer» E.

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\[{{e}^{\left( x\,-\,\frac{1}{2}{{(x\,-\,1)}^{2}}\,+\,\frac{1}{3}{{(x\,-\,1)}^{3}}\,-\,\frac{1}{4}{{(x\,-\,1)}^{4}}+....... \right)}}\] is equal to [DCE 2001]

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