JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

Let

f: R \rightarrow R

be a positive increasing function with

\lim \limits_{{x \rightarrow \infty}} \frac{f(3 x)}{f(x)}=1

. Then,

\lim \limits_{{x \rightarrow \infty}} \frac{f(2 x)}{f(x)}=

View answer and explanation

Correct option: C

Option C (1) is correct because by using the Squeeze Theorem and the given condition

\lim \limits_{{x \rightarrow \infty}} \frac{f(3 x)}{f(x)}=1

, we can conclude that

\lim \limits_{{x \rightarrow \infty}} \frac{f(2 x)}{f(x)}=1

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