If … then 'a' is equal to :

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Limits Continuity and Differentiability

JEE Main 2016 · 9 Apr, Morning shift · Q4250

MathematicsMedium179×since 2002Q4250

\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

MathematicsMedium179×since 2002Q4250

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

then 'a' is equal to :