1. (A) Program for iterative calculation

1. (A) Program for iterative calculation

clear;
	n=3;
	es=0.5*(10^(2-n));
	x=0.5;
	f(1)=1; //first estimate f=e^x=1
	ft=1.648721; //true value of e^0.5=f
	et(1)=(ft-f(1))*100/ft;
	ea(1)=100;
	i=2;
	while ea(i-1)>=es
	f(i)=f(i-1)+(x^(i-1)) //(factorial(i-1));
	et(i)=(ft-f(i))*100/ft;
	ea(i)=(f(i)-f(i-1))*100/f(i);
	i=i+1;
	end
	for j=1:i-1
	disp(ea(j),"approximate estimate of error(%)="et(j),"true % frelative error=",f(j),"result=",j,term number=)
	disp(".....................................")
	end