Question

Usando a regra de L'Hospital calcule o limite anexo:
A seguir indique a resposta correta:
a)1
b) 3/5
c) 1/2
d) 9/5
e) 5/3

Answer 1

Boa noite Carossi!

Solução!

$\displaystyle \lim_{x\to 0} \frac{Sen(5x)}{3x}\\\\\\\\ \displaystyle \lim_{x\to 0} \frac{5cos(x)}{3cos(3x)}\\\\\\\\ \displaystyle \lim_{x\to 0} \frac{5cos(0)}{3cos(3(0)}\\\\\\\\ \displaystyle \lim_{x\to 0} \frac{5.(1)}{3(1)}\\\\\\\\ \displaystyle \lim_{x\to 0} \frac{5}{3}\\\\\\\\ Resposta: Alternativa:E$

Boa noite!
Bons estudos!