JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

f(x)=\frac{1}{3}\left(f(x+1)+\frac{5}{f(x+2)}\right)

and

f(x)>0, \forall x \in R

, then

\lim \limits_{{x \rightarrow \infty}} f(x)

View answer and explanation

Correct option: C

\sqrt{\frac{5}{2}}

The correct answer is C (

\sqrt{\frac{{5}}{{2}}}

) because by assuming the limit exists and solving for it, we find that the limit is

\sqrt{\frac{{5}}{{2}}}

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