If \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{a}{x}+\frac{b}{{{x}^{2}}} \right)}^{2x}}={{e}^{2}},\] then the values of a and b, are

If \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{a}{x}+\

1.	If \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{a}{x}+\frac{b}{{{x}^{2}}} \right)}^{2x}}={{e}^{2}},\] then the values of a and b, are
A.	\[a=1\] and \[b=2\]
B.	\[a=1,b\in R\]
C.	\[a\in R,b=2\]
D.	\[a\in R,b\in R\]
Answer» C. \[a\in R,b=2\]

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If \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{a}{x}+\frac{b}{{{x}^{2}}} \right)}^{2x}}={{e}^{2}},\] then the values of a and b, are

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