Ensino Superior ⇒ Limite - Básico

[Auto Excluído (ID: 25200)]

[tex3]\lim_{x \rightarrow \infty}\frac{1}{2x+3}[/tex3]

[lucasmegna]

[tex3]\lim _{x\to a}\left[\frac{f\left(x\right)}{g\left(x\right)}\right]=\frac{\lim _{x\to a}f\left(x\right)}{\lim _{x\to a}g\left(x\right)},\:\quad \lim _{x\to a}g\left(x\right)\ne 0[/tex3]

[tex3]=\frac{\lim _{x\to \infty \:}\left(1\right)}{\lim _{x\to \infty \:}\left(2x+3\right)}[/tex3]

[tex3]\lim _{x\to \infty \:}\left(1\right)=1[/tex3]

[tex3]\lim _{x\to \infty \:}\left(2x+3\right)= \infty [/tex3]

[tex3]=\frac{1}{\infty \:}[/tex3]

[tex3]\mathrm{Aplicar\:as\:propriedades\:dos\:limites\:infinitos:}\:\frac{c}{\infty }=0[/tex3]

[tex3]=0[/tex3]