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Mathematics · 2024

JEE Main · 31 January 2024, Shift 2 · Q8

Consider the function f:(0, ∞) → R defined by f(x)=e^-| log_e x|. If m and n be respectively the number of points at which f is not continuous and f…

Consider the function $\displaystyle f:(0, \infty) \rightarrow \mathbb{R}$ defined by $\displaystyle f(x)=e^{-\left|\log _e x\right|}$. If $\displaystyle m$ and $\displaystyle n$ be respectively the number of points at which $\displaystyle f$ is not continuous and $\displaystyle f$ is not differentiable, then $\displaystyle m+n$ is
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.