Let r(x) =1/(1-x). What is r(r(r(r(r(r(30)))))) (where r is applied 6 times)?
r(x) = 1 / (1 - x)
r(30) = 1 / ( 1 - 30) = -1/29
r(r(30)) = r(-1/29) = 1 / ( 1 - -1/29) = 1 / (1/ 30) = 30
r(r(r(30))) = r(30) = 1 / (1 - 30) = -1/29
Note that the pattern repeats....so when r is applied 6 times we will end up with -1/29
+586 
