Steps needed for an accuracy of 1d-7 for the function f(x)=x+dlog(x)

 

		x0=0.1	x0=0.5
x=g(x)	g(x)=-dlog(x)	does not converge	does not converge
	g(x)=dexp(-x)	27	24
	g(x)=(x+dexp(-x))/2	9	9
	g(x)=(x+2*dexp(-x))/3	5	4
Newton-Raphson		4	2
Halley		3	1