If lim_(x → 1⁺) (x-1)(6+λ cos(x-1)) + μ sin(1-x)/(x-1)³ = -1, whe… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 1Limits

If $\lim_{x \to 1^{+}} \frac{(x-1)(6+\lambda \cos(x-1)) + \mu \sin(1-x)}{(x-1)^3} = -1$ , where $\lambda, \mu \in \mathbb{R}$ , then $\lambda + \mu$ is equal to

A
$18$
B
$20$
C
$19$
D
$17$

Answer & step-by-step solution

Practice more Limits questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Limits

Answer & step-by-step solution

Practice more Limits questions

Related questions