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Mathematics · 2023

JEE Main · 24 January 2023, Shift 2 · Q70

The set of all values of a for which lim_x → a([x-5]-[2 x+2])=0, where [∝] denotes the greatest integer less than or equal to ∝ is equal to

The set of all values of $\displaystyle a$ for which $\displaystyle \lim _{x \rightarrow a}([x-5]-[2 x+2])=0$, where $\displaystyle [\propto]$ denotes the greatest integer less than or equal to $\displaystyle \propto$ is equal to
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.