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If f(x)=1/3{f(x+1)+5/(f(x+2)}} and f(x) ...

If `f(x)=1/3{f(x+1)+5/(f(x+2)}}` and `f(x) gt 0` for all `x in R`, then `lim_(x rarr infty)f(x)` is

A

`sqrt(2/5)`

B

`sqrt(5/2)`

C

`infty`

D

none of these

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The correct Answer is:
B
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