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Mathematics · 2020

JEE Main · 3 September 2020, Shift 1 · Q58

Let [ t ] denote the greatest integer ≤ t. If for some λ ∈ R -{0,1}, lim_x → 0|(1-x+|x|)/(λ-x+[x])|= L, then L is equal to:

Let $\displaystyle [\mathrm{t}]$ denote the greatest integer $\displaystyle \leq \mathrm{t}$. If for some $\displaystyle \lambda \in \mathbf{R}-\{0,1\}$, $\displaystyle \lim _{x \rightarrow 0}\left|\frac{1-x+|x|}{\lambda-x+[x]}\right|=\mathrm{L}$, then L is equal to :
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.