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Application of Derivatives question

2024 · 31 Jan · Shift 2 · Q41

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2024 · 31 Jan · Shift 2 · Q41

Application of Derivatives question

2024 · 31 Jan · Shift 2 · Q41

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

f: \rightarrow \mathbb{R} \rightarrow(0, \infty)

be strictly increasing function such that

\lim_{x \rightarrow \infty} \frac{f(7 x)}{f(x)}=1

. Then, the value of

\lim_{x \rightarrow \infty}\left[\frac{f(5 x)}{f(x)}-1\right]

is equal to

A
0
B
4
C
1
D
7/5

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