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Mathematics · 2024

JEE Main · 31 January 2024, Shift 2 · Q9

Let f: → R →(0, ∞) be strictly increasing function such that lim_x → ∞ (f(7 x))/(f(x))=1. Then, the value of lim_x → ∞[(f(5 x))/(f(x))-1] is equal to

Let $\displaystyle f: \rightarrow \mathbb{R} \rightarrow(0, \infty)$ be strictly increasing function such that $\displaystyle \lim _{x \rightarrow \infty} \frac{f(7 x)}{f(x)}=1$. Then, the value of $\displaystyle \lim _{x \rightarrow \infty}\left[\frac{f(5 x)}{f(x)}-1\right]$ is equal to
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.