Question

calcule o limite:

lim (sen 4x)/(sen 7x), com X tendendo a 0​

Answer 1

Resposta:

$\frac{4}{7}$

Explicação passo-a-passo:

$\lim_{\alpha \to \0} \frac{sen\alpha }{\alpha }=1\\\\ \lim_{x \to \00} \frac{sen4x}{sen7x} \\\\ \lim_{x \to \00} \frac{4x*\frac{sen4x}{4x} }{7x*\frac{sen7x}{7x} }\\\\ \lim_{x \to \00}= \lim_{x \to \00} \frac{4*\frac{sen4x}{4x} }{7*\frac{sen7x}{7x} } =\frac{4.1}{7.1} =\frac{4}{7}$