Let (a) Use the result of Exercise 68 to evaluate G(b) for all b > 0. (b)

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Let G(b) = lim (1 + b) /x.

(a) Use the result of Exercise 68 to evaluate G(b) for all b > 0.
(b) Verify your result graphically by plotting y = (1 + bx)1/x together with the horizontal line y = G(b) for the values b = 0.25, 0.5, 2, 3.


Data From Exercise 68

In(1 + b*) X (a) Show that H(b) = lnb if b 1. (b) Determine H(b) for 0 < b 1. Let H(b) = lim X-00 for b> 0.

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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