Question

Calcule o limite de (está na foto)​

Answer 1

Resposta:

a e b ∈ Reais

lim  [√(x+a) +√(x-b)]/√x  

x-->∞

lim  [√{x*(1+a/x)} +√{x*(1-b/x)}]/√x  

x-->∞

lim  [√x*√{(1+a/x)} +√x*√{(1-b/x)}]/√x  

x-->∞

lim  √{(1+a/x)} +√{(1-b/x)}  =√{(1+a/∞)} +√{(1-b/∞)}

x-->∞

= √{(1+0)} +√{(1-0)} =1+1 =2