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Limits Continuity and Differentiability question

2020 · 5 Sep · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 5 Sep · Shift 2 · Q24

Limits Continuity and Differentiability question

2020 · 5 Sep · Shift 2 · Q24

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\mathop {\lim }\limits_{x \to 0} {{x\left( {{e^{\left( {\sqrt {1 + {x^2} + {x^4}} - 1} \right)/x}} - 1} \right)} \over {\sqrt {1 + {x^2} + {x^4}} - 1}}

A
is equal to 0.
B
is equal to $\sqrt e$ .
C
is equal to 1.
D
does not exist.

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