a. Show that lim h0 2 + h 2 h 1/h = e. b. Compute approximations to e using the formula
Chapter 4, Problem 12(choose chapter or problem)
a. Show that lim h0 2 + h 2 h 1/h = e. b. Compute approximations to e using the formula N(h) = 2+h 2h 1/h , for h = 0.04, 0.02, and 0.01. c. Assume that e = N(h) + K1h + K2h2 + K3h3 + . Use extrapolation, with at least 16 digits of precision, to compute an O(h3) approximation to e with h = 0.04. Do you think the assumption is correct? d. Show that N(h) = N(h). e. Use part (d) to show that K1 = K3 = K5 == 0 in the formula e = N(h) + K1h + K2h2 + K3h3 K4h4 + K5h5 + , so that the formula reduces to e = N(h) + K2h2 + K4h4 + K6h6 + . f. Use the results of part (e) and extrapolation to compute an O(h6) approximation to e with h = 0.04.
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