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Limits Continuity and Differentiability question

2016 · 9 Apr · Shift 1 · Q46

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JEE Main
Mathematics
Limits Continuity and Differentiability
2016 · 9 Apr · Shift 1 · Q46

Limits Continuity and Differentiability question

2016 · 9 Apr · Shift 1 · Q46

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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 :

A
2
B
${3 \over 2}$
C
${2 \over 3}$
D
${1 \over 2}$

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