If \(\displaystyle\lim_{x\rightarrow \infty}\left(1+ \dfrac{a}{x}+\dfrac{b}{x^2}\right)^{2x}=e^2\), then the value of a and b are

If \(\displaystyle\lim_{x\rightarrow \infty}\left(1+ \dfrac{a}{x}+\df

1.	If \(\displaystyle\lim_{x\rightarrow \infty}\left(1+ \dfrac{a}{x}+\dfrac{b}{x^2}\right)^{2x}=e^2\), then the value of a and b are
A.	a ∈ R, b = 2
B.	a = 1, b ∈ R
C.	a ∈ R, b ∈ R
D.	None of these
Answer» C. a ∈ R, b ∈ R

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If \(\displaystyle\lim_{x\rightarrow \infty}\left(1+ \dfrac{a}{x}+\dfrac{b}{x^2}\right)^{2x}=e^2\), then the value of a and b are

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