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Limits Continuity and Differentiability question

2025 · 4 Apr · Shift 1 · Q42

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 4 Apr · Shift 1 · Q42

Limits Continuity and Differentiability question

2025 · 4 Apr · Shift 1 · Q42

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\lim_{x \rightarrow 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
20
B
19
C
18
D
17

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