(a) Use the Taylor series for e x at x = 0 to show that e x...

Question:

(a) Use the Taylor series for ex at x = 0 to show that ex > x2/2 for x > 0.

(b) Deduce that e-x < 2/x2 for x > 0.

(c) Show that xe-x approaches 0 as x → ∞.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

Question Posted: