. Using Newton's Method, find a numerical approximation to the Zero of
F(x) = e^(-x/3) - 0.05471*x
on [2.5,2.9] starting with the endpoint (k = 0) having the smallest value of |f|,
keeping track of the number of ALL function evaluations kfe, the current
Change in sign interval [a_k,b_k], and tabulating
K kfe a_k b_k x_k f_k f_k' x_{k+1} |x_{k+1}-x_k|
0
... ...
until |x_{k+1}-x_k| < 0.5e-2.
|for k = 0 to 3 iterations