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let f(x)=lim(n->oo) ((x^2+x+9/4+cospix)^...

let `f(x)=lim_(n->oo) ((x^2+x+9/4+cospix)^n-1)/((x^2+x+9/4+cospix)^n+1).((2tan^nx+x^n)/(tan^nx))` then find interval for which `f(x)` is continuous and differentiable

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