Question

lim x ->0 sen^2(×) sobre x(1-cos(×))

Answer 1

Resposta:

∞

Explicação passo a passo:

lim x ->0 sen^2(×)/[x(1-cos(×))]

lim x ->0 (1-cos²x)/[x(1-cos(×))]

lim x ->0 (1-cosx)(1+cosx)/[x(1-cos(×))], cancela (1-cosx).

lim x ->0 (1+cosx)/x

lim x ->0 2cos²x/x

(2cos²0)/0 =

2.1²/0 =

2/0 = ∞