Question

Let f(x) have a power series representation P(x), and suppose f(0) = 1, f '(0) = 1, f "(0) = 2 and f(3)(0) = 6. P(x) converges on the closed interval from -2 to 2 and the absolute value of the fourth derivative of f evaluated at x is less then or equal to 20 on that interval, then what is the maximum error if we estimate f (1)?

Answer 1

Not sure how to go about this. I tried making a Lagrange error function but I'm doing something wrong.

Answer 2

Apparently nobody here knows this either. Closed.

Answer 3

would you like help

Answer 4

is it possible for you to upload an image or pic of the original question, the directions are a bit hard to understand.