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In the neighbourhood of 0 the value of tan^2x lies between 0 to 1. So the GIF will be a constant value of 0

(Consider -pi/4 to pi/4 as the neighbourhood of 0)    -pi/4 < x < pi/4   => -1 < tanx < 1 => 0 < tan^2 x < 1  => [tan^2 x] = 0

So it value is constant ie = => Continous => Limit Exists .
constant function  is differentiable => f’(0)=0

so A is true , B is false as limit exists and equal to 0 , C is false as f’(0)=0, D is also false

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