Show that the nth Maclaurin polynomial of f (x) = arcsin x for n odd is 1.3 x Tn (x) = x+ 23 1.3.5... (n - 2) x" 2.4.6... (n – 1) n 2.4 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Show that the nth Maclaurin polynomial of f (x) = arcsin x for n odd is
1.3 x
Tn (x) = x+
23
1.3.5... (n - 2) x"
2.4.6... (n – 1) n
2.4 5
Transcribed Image Text:Show that the nth Maclaurin polynomial of f (x) = arcsin x for n odd is 1.3 x Tn (x) = x+ 23 1.3.5... (n - 2) x" 2.4.6... (n – 1) n 2.4 5
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