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Limits Continuity and Differentiability question

2024 · Shift 2 · Q20

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2024 · Shift 2 · Q20

Limits Continuity and Differentiability question

2024 · Shift 2 · Q20

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMCQ+3 / −1

Let

k \in \mathbb{R}

. If

\lim \limits_{x \rightarrow 0+}(\sin (\sin k x)+\cos x+x)^{\frac{2}{x}}=e^6

, then the value of

k

is

A
1
B
2
C
3
D
4

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