Let f(x) be positive, continuous, and di...

Let `f(x)` be positive, continuous, and differentiable on the interval `(a , b)a n d("lim")_(xveca^+)f(x)=1,("lim")_(xvecb^-)f(x)=3^(1/4)dotIff^(prime)(x)geqf^3(x)+1/(f(x)),` then the greatest value of `b-a` is `pi/(48)` (b) `pi/(36)` `pi/(24)` (d) `pi/(12)`

`3^(1//4)`

`(3^(1//4)-1)pi/24`

`pi/24`

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