Question

calcule o limite da sequencia raiz de 2 raiz de 2 raiz de 2

Answer 1

Resposta:

x = 2

Explicação passo a passo:

Seja x o limite:

$x=\sqrt{2\sqrt{} 2\sqrt{}2 ...} \\\\x^2=2\sqrt{2\sqrt{2\sqrt{2}... } } \\\\x^2=2x\\\\x^2-2x=0\\\\x(x-2)=0\\\\x=0\\ou\\x-2=0\\\\x=2$