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Limits Continuity and Differentiability question

2004 · Shift 0 · Q72

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2004 · Shift 0 · Q72

Limits Continuity and Differentiability question

2004 · Shift 0 · Q72

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

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

, then the value of

a

and

b

, are

A
$a$ = 1 and $b$ = 2
B
$a$ = 1 and $b \in R$
C
$a \in R$ and $b$ = 2
D
$a \in R$ and $b \in R$

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