`sqrt(a+sqrt(a+sqrt(a+......infty)))=........`

sqrt (a sqrt (a sqrt a...oo)) =...

The value of sqrt(2 sqrt(2 sqrt(2...infty))) is

sqrt(6+sqrt(6+sqrt(6+sqrt(6+....................infty" times"))))=

sqrt(6+sqrt(6+sqrt(6+sqrt(6+....................infty" times"))))=

If y=sqrt(x+sqrt(x+sqrt(x+.........+infty)))," find "(dy)/(dx) .

If y= sqrt(cos theta+sqrt(cos theta +sqrt(cos theta+......infty))), show that (dy)/(d theta) = (sin theta)/(1-2y)