Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q70
If lim_x → ∞(1+a/x-4/x^2)^2 x=e^3, then ' a ' is equal to:
If $\displaystyle \lim _{x \rightarrow \infty}\left(1+\frac{a}{x}-\frac{4}{x^2}\right)^{2 x}=e^3$, then ' $\displaystyle a$ ' is equal to :
Official answer
(2)
$\displaystyle \frac{3}{2}$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.