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?

A

`f(-(pi^(-))/4)=f((pi^(+))/4)`

B

`f(-(pi^(-))/4)=f(-(pi^(+))/4)`

C

`f((pi^(-))/4)=f((pi^(+))/4)`

D

`f(0^(+))=f(0)=f(0^(-))`

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The correct Answer is:

A, D

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