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lim(x->0) (1-cos² x) / (x. sin x)
= lim(x->0) (sin² x)/(x sin x)
= lim(x->0) sin x /x = 1
2b)
lim(x->0) (cos2x -1)/(x²)
= lim(x->0) { 1 - 2 sin² x - 1) /(x²)
= lim(x->0) (- 2 sin² x / x² = -2