(b) Which of the following rearrangements (1)
x_(n+1)=(x_(n)^(2)-3)/(2),n>=0
=\sqrt(2x_(n)+3),n>=0
(2)
,x_(n+1)=\sqrt(2x_(n)+3)
is suitable for solving the equation
x^(2)-2x=3
using the fixed-point method in
2,4
? Then use it to find the second approximation, taking
x_(0)=2.5
. Compute the error bound for your approximations. (c) Successive approximations
x_(n)
to the desired root for an equation
f(x)=0
are generated by the iterative scheme
x_(n+1)=(2x_(n)^(3)+4x_(n)^(2)+10)/(3x_(n)^(2)+8x_(n)),n>=0
Use the Newton's method to find the first approximation of the root, starting with
x_(0)=1.5
Please i need solutaion b and c