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Limits Continuity And Differentiability

JEE Main 2025 (Online) 4th April Morning Shift

MCQ+4 / -12025

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

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