lim x-->0 sin² 12x + 1 - cos 12x/2x²

Limit Trigonometri

limit (x->0)  ( sin² 12x  +1  - cos 12 x) / (2x²)

limit(x->0)  (sin² (12x) +1 - (1 - 2 sin² 6x) /(2 x²)

limit (x->0) ( sin² (12x) + 2 sin² (6x)) / (2x²)
= {(12x)^2 + 2 (6x)^2} / (2x^2)
= {144 x^2 + 72 x^2}  / (2x^2)
= (144+ 72)(x²)  / 2(x²)
= 216/2
= 108