Question

resolva o seguinte item usando a regra de L'Hospital
lim x→0+ x^√x

Answer 1

Resposta:

$x=0+x\sqrt{x}\\\\x-\left(0+x\sqrt{x}\right)=0+x\sqrt{x}-\left(0+x\sqrt{x}\right)\\\\x-\sqrt{x}x=0\\\\-x\left(\sqrt{x}-1\right)=0\\\\x=0\quad \mathrm{or}\quad \sqrt{x}-1=0\\\\x=0,\:x=1$

Explicação passo a passo: