Let k ∈ R. If displaystylelim_x → 0+ (sin(sin kx) + cos x + x )^2/x = e^6, then the value of k is

Let k ∈ R. If displaystylelim_x → 0+ (sin(sin kx) + cos x +… — JEE Advanced 2024 Mathematics PYQ

JEE Advanced 2024 · Paper 2

Let

k \in \mathbb{R}

. If

\displaystyle\lim_{x \to 0+} \left(\sin(\sin kx) + \cos x + x\right)^{\frac{2}{x}} = e^6

, then the value of

k

Show answer

Correct option: B

[JEE Advanced 2024 · Paper 2]

Practise Limits Continuity and Differentiability the way it is asked

A timed set of real JEE Advanced Limits Continuity and Differentiability questions, graded as the exam grades. No sign-up.