Let f: R -> R be a differentiable functi...

Let `f: R -> R` be a differentiable function such that `f(0) = 0,f(pi/2)=3a n df^(prime)(0)=1.` If `g(x)=int_x^(pi/2)[f^(prime)(t)cos e ct-cottcos e ctf(t)]dt` for `x(0,pi/2],` then `(lim)_(x -> 0)g(x)=`

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