Question

2 questoes sobre limites

Answer 1

Resposta:

$\lim _{x\to \:0}\left(\frac{\sin \left(x\right)}{x}\right)=1$

$\lim _{x\to \:0}\left(\frac{1-\cos \left(x\right)}{x}\right)=0$

Explicação passo a passo:

$\lim _{x\to \:0}\left(\frac{\sin \left(x\right)}{x}\right)\\\lim _{x\to \:0}\left(\frac{\cos \left(x\right)}{1}\right)\\\frac{\cos \left(0\right)}{1}=1$

$\lim _{x\to \:0}\left(\frac{1-\cos \left(x\right)}{x}\right)\\\lim _{x\to \:0}\left(\frac{\sin \left(x\right)}{1}\right)\\\frac{\sin \left(0\right)}{1}=0$