If $\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {e^3},$ then 'a' is equal to : - DASH

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Question

If $\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {e^3},$ then 'a' is equal to :

2

${3 \over 2}$

${2 \over 3}$

${1 \over 2}$

Solution

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