If lim x → ∞ (1 + a/x - 4/(x²))²ˣ = e³, then 'a' is equal to:

Limit, Continuity and Differentiability: JEE Main 2016 Mathematics question

JEE Main 2016 · 9 Apr, Morning shift · Q4250

JEE Main 20169 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {e^3},

then 'a' is equal to :

JEE Main 2016 · 9 Apr, Morning shift · Q4250

JEE Main 20169 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {e^3},

then 'a' is equal to :