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Let f(x)={lim(n->oo)(a x(x-1)(cot(pix)/...

Let `f(x)={lim_(n->oo)(a x(x-1)(cot(pix)/4)^n+(p x^2+2))/((cot(pix)/4)^n+1) ,x in (0,1) uu (1,2) and 0 ,x=1` If f(x) is differentiable for all `x in (0, 2)` then `(a^2 +p^2)` equals

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