Question

Calcule o limite de 2x mais 3 com x tendendo a mais infinito

Answer 1

Resolução da questão, veja:

Calcular o limite dado acima:

Pelo limite da soma, teremos que:

$\mathsf{\displaystyle\lim_{x~\to~+\infty}2x+3}}}}\\\\\\\\\\ \mathsf{\displaystyle\lim_{x~\to~+\infty}2x}}+\mathsf{\displaystyle\lim_{x~\to~+\infty}3}}}\\\\\\\\\\ \mathsf{\displaystyle2\lim_{x~\to~+\infty}x}}}+ \mathsf{3}}}}}}\\\\\\\\\\ \mathsf{2x+3}}\\\\\\\\\ \mathsf{\displaystyle\lim_{x~\to~+\infty}2x+3}}}}=\mathsf{2~\cdot~\infty+3}}}}\\\\\\\\ \mathsf{\displaystyle\lim_{x~\to~+\infty}2x+3}}}}=\mathsf{\infty+3}}}}\\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathsf{\displaystyle\lim_{x~\to~+\infty}2x+3}=\infty}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$

Espero que te ajude '-'