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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If lim⁡x→∞(1+ax+bx2)2x=e2\lim \limits_{{x \rightarrow \infty}}\left(1+\frac{a}{x}+\frac{b}{x^2}\right)^{2 x}=e^2, then
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Correct option: C
a=1,b∈Ra=1, b \in R
Option C (a=1,b∈Ra=1, b \in R) is correct because by evaluating the limit, we find that a=1a=1, while bb can be any real number.

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