Expression 3: "y" equals StartRoot, 2 , EndRoot sine left parenthesis, StartFraction, "x" minus left parenthesis, StartRoot, 2 , EndRoot sin left parenthesis, StartNestedFraction, "x" minus "y" NestedOver StartRoot, 2 , EndRoot , EndNestedFraction , right parenthesis minus "x" , right parenthesis Over StartRoot, 2 , EndRoot , EndFraction , right parenthesis minus "x"y=2sinx−2sinx−y2−x2−x
3
Notice with an infinite amount of iterations, y is now a pure function of x!
4
Expression 5: "y" equals StartRoot, 2 , EndRoot sine left parenthesis, StartFraction, "x" minus left parenthesis, StartRoot, 2 , EndRoot sin left parenthesis, StartNestedFraction, "x" minus left parenthesis, StartRoot, 2 , EndRoot sin left parenthesis, StartNestedFraction, "x" minus left parenthesis, StartRoot, 2 , EndRoot sin left parenthesis, StartNestedFraction, "x" minus ... NestedOver StartRoot, 2 , EndRoot , EndNestedFraction , right parenthesis minus "x" , right parenthesis NestedOver StartRoot, 2 , EndRoot , EndNestedFraction , right parenthesis minus "x" , right parenthesis NestedOver StartRoot, 2 , EndRoot , EndNestedFraction , right parenthesis minus "x" , right parenthesis Over StartRoot, 2 , EndRoot , EndFraction , right parenthesis minus "x"y=2sinx−2sinx−2sinx−2sinx−...2−x2−x2−x2−x