Newton's method

[ThomasA]

Hello,
the built in routine 'newton' (you find a complete description following Tim's advice) can be used to study the convergence of the iteration-method (may be that is what you want?) step by step
by looking at the result after only one iteration per function-call:
change to CAS , then
example:
f(x)= x^2-3
wanted: one root of f , estimated value could be 1.3
first input
newton(x^2-3,x,1.3,1)
enter key
output: 1.8038... (this is x_1 in the newton's series)
input
newton(x^2-3,x,Ans,1)
enter key
output: 1.73347958012 (this is x_2)
enter key
output: 1.73347958012 (this is x_3) and so on


hope that helps
Thomas