Question

lim de x tendendo a 0 sen6x/sen7x​

Answer 1

Resposta:

Explicação passo-a-passo:

Usando L'Hopital

$\lim_{x \to 0} \dfrac{sen(6x)}{sen(7x)}= \lim_{x \to 0} \dfrac{6.cos(6x)}{7.cos(7x)}=\dfrac{6.cos(6.0)}{7.cos(7.0)}=\\\\=\dfrac{6.cos(0)}{7.cos(0)}=\dfrac{6.1}{7.1}=\dfrac{6}{7}$