Homework Problem 1

[niharnandan]

I'm trying to figure out a function which is monotonic increasing. Every function I try fails the third test. The condition to pass the test is h[-1] > h[-2] but this can't work if the root is at 0 because the function will be getting closer to 0. Am I thinking about this wrong and is there a function that satisfies this condition because I can't think of one has a root at 0 and is absolutely increasing.

[jedbrown]

You're looking for a function where each iteration of Newton moves to a point that is further from the root.

[niharnandan]

Got it. Thanks for the tip.