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Limits Continuity and Differentiability question

2019 · 9 Jan · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 9 Jan · Shift 1 · Q34

Limits Continuity and Differentiability question

2019 · 9 Jan · Shift 1 · Q34

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\mathop {\lim }\limits_{y \to 0} {{\sqrt {1 + \sqrt {1 + {y^4}} } - \sqrt 2 } \over {{y^4}}}

A
exists and equals ${1 \over {2\sqrt 2 }}$
B
exists and equals ${1 \over {4\sqrt 2 }}$
C
exists and equals ${1 \over {2\sqrt 2 (1 + \sqrt {2)} }}$
D
does not exists

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