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(a) If f0sxd 1 2 2 x and fn11 f0 8 fn for n 0, 1, 2, . . .

Calculus | 8th Edition | ISBN: 9781285740621 | Authors: James Stewart ISBN: 9781285740621 127

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Calculus | 8th Edition

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Calculus | 8th Edition | ISBN: 9781285740621 | Authors: James Stewart

Calculus | 8th Edition

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Problem 20

(a) If f0sxd 1 2 2 x and fn11 f0 8 fn for n 0, 1, 2, . . . , find an expression for fnsxd and use mathematical induction to prove it. ; (b) Graph f0, f1, f2, f3 on the same screen and describe the effects of repeated composition.

Step-by-Step Solution:

                                                 Step -by-step solution

Step 1 of  7

(a)

 

For n=0,

           

Step 2 of 7

Chapter 1, Problem 20 is Solved
Step 3 of 7

Textbook: Calculus
Edition: 8
Author: James Stewart
ISBN: 9781285740621

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(a) If f0sxd 1 2 2 x and fn11 f0 8 fn for n 0, 1, 2, . . .