5. Prove that of has a zero of order m at zo if and only if f(20), f'(zo), . . ., f(m−1) (20) are all equal to zero, but f(m) (20) 0.
5. Prove that of has a zero of order m at zo if and only if f(20), f'(zo), . . ., f(m−1) (20) are all equal to zero, but f(m) (20) 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 55E
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