(HP71B) Newton's method

[Albert Chan]

A better way to reduce function calls is to straighten curve.
From previous post, e^x - 3x^2 = 0. Divide both side by e^x

>2 DEF FNF(X)= 1 - 3*X^2/EXP(X)

Code:

Guess, Accuracy = 3, 1e-6
 3.76823887888       -.768238878882        2
 3.73298203526        3.52568436176E-2     4
 3.73307902863       -9.69933705838E-5     7
 3.73307902863        0                    10

Code:

Guess, Accuracy = 4, 1e-6
 3.7252587096         .274741290395        2
 3.73307492918       -7.81621958153E-3     4
 3.73307902863       -4.09945495303E-6     7
 3.73307902863        0                    10