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If and f(x)>0 for all x R. Then lim x-> f(x) is : ​ Non of these.

If f(x) = \frac{1}{3} [f(x+1) + \frac{5}{f(x+2)}]  and f(x)>0 for all x\varepsilonR. Then limx->\infty f(x) is :
  1. \sqrt{\frac{2}{5}}
  2. \sqrt{\frac{5}{2}}
  3. \infty
  4. Non of these.

Grade:11

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