\text{Displayed\ nested\ fractions\ are\ normal\ size\ at\ the\ first\ level,~}\frac{1^{\sqrt{6}}}{\sqrt{2} + \frac{1}{\sqrt{3} + \frac{1}{\sqrt{4} + \frac{1}{\sqrt{5} + \frac{1}{\sqrt{6} + \ldots}}}}}\text{~script\ size\ at\ second\ level,\ and\ script-script\ size\ at\ all\ more\ nested\ levels.}
