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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡x→∞(1+ax−4x2)2x=e3\lim _{x \rightarrow \infty}\left(1+\frac{a}{x}-\frac{4}{x^2}\right)^{2 x}=e^3, then 'a' is equal to :
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Correct option: B
32\frac{3}{2}
Option B (3/2) is correct because the limit can be evaluated using the exponential form of limits, leading to a = 3/2.

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