Nonconvergence to f Consider the function f 1x2 = e e-1>x2
Chapter 9, Problem 90(choose chapter or problem)
Nonconvergence to f Consider the function f 1x2 = e e-1>x2 if x _ 0 0 if x = 0. a. Use the definition of the derivative to show that f _102 = 0. b. Assume the fact that f 1k2102 = 0, for k = 1, 2, 3, c. (You can write a proof using the definition of the derivative.) Write the Taylor series for f centered at 0. c. Explain why the Taylor series for f does not converge to f for x _ 0.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer