Solve this following

Question:

Let $f: R \rightarrow R$ be a positive increasing function with $\lim _{x \rightarrow \infty} \frac{f(3 x)}{f(x)}=1$. Then $\lim _{x \rightarrow \infty} \frac{f(2 x)}{f(x)}=$

  1. 1

  2. $\frac{2}{3}$

  3. $\frac{3}{2}$

  4. 3


Correct Option: 1

Solution:

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