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Let f:(-pi/2, pi/2)->R, f(x) ={lim(n->oo...

Let `f:(-pi/2, pi/2)->R`, `f(x) ={lim_(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(tanx)^(2n)) x in 0 , n in N`; `1` if `x=0` which of the following holds good?

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