Question

Berapa hasil dari lim x->0 x^2+sinxtanx/1-cos^2 2x

Answer 1

  lim   (x² + sin x tan x)/(1 - cos² 2x)
x→0

=  lim   (x² + sin x tan x)/(sin² 2x)
   x→0
=   lim   ( x²/sin²2x + sin x tan x/sin²2x)
   x→0
= 1/4 + 1/2.1/2
= 1/4 + 1/4
= 2/4
= 1/2