Close, and a good intuition for well-behaved problems. Unfortunately, Newton's method only remembers the location of the current point, rather than of two poin

Close, and a good intuition for well-behaved problems. Unfortunately, Newton's method only remembers the location of the current point, rather than of two points surrounding the target value. This can result in some pathological cases where Newton's method fails to converge, or gets into an infinite loop.