Infinite Fractions - 5
Calculus
Level
3
\[ \Large \cfrac { 1+\frac { 1+\frac { 1+\cdots }{ \sqrt { 1+\cdots } } }{ \sqrt { 1+\frac { 1+\cdots }{ \sqrt { 1+\cdots } } } } }{ \sqrt { 1+\frac { 1+\frac { 1+\cdots }{ \sqrt { 1+\cdots } } }{ \sqrt { 1+\frac { 1+\cdots }{ \sqrt { 1+\cdots } } } } } } = \, ?\]
Give your answer to 3 decimal places.
by
Lee Care Gene