Utilizando lim x->0 sen(x)/x = 1, calcule os limites: a) li...

Utilizando lim x->0 sen(x)/x = 1, calcule os limites:

a) lim x->0 (cos(x) - 1)/x b) lim x->0 sen(2x)/(5x) c) lim x->+∞ sen(1/x)/(1/x)

Calcule os limites:

a) lim x->0 (1 + 3x)^(1/x) b) lim x->0 (1 - 5x)^(1/x) c) lim x->0 (1 - x^2)^(1/x) d) lim x->0 ln(1 + 10x)/x e) lim x->0 [1 + sen(x)]^(1/sen(x)) f) lim x->+∞ (1 + 2/x)^(2x) g) lim x->+∞ (1 + 1/x)^(2x) h) lim x->+∞ (x - 1)/(x + 3)^(x+2).