Question 62894
Simplify:
LET Y = 1+(1/(1+(1/(1+(1/(1+(1/x)))))))
IS IT TO INFINITE TERMS? IF SO,WE CAN SAY THAT
Y = 1+ 1/Y AS THE NUMBER OF TERMS ARE UP TO INFINITY
Y^2-Y-1=0
 {{{Y = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{Y = (1 +- sqrt( 1^2-4*1*(-1) ))/(2*1) }}}
{{{Y = (1 + sqrt( 5 ))/(2) }}}   


if that makes no sense, it's also written something like (ignore the periods):
1+ ________1________
.......1+ ______1______
..............1+ ____1____
......................1+ (1/x)