Use Taylor's theorem to expand sin (+ h) in ascending powers of h as far as the term in hª

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 19E
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Use Taylor's theorem to expand sin (+ h) in ascending powers of h as far as the term in hª
Find the Taylor's polynomial po, P1, P2 and p3 for f(x) = ln(x) at x =1
Use a graphing utility to compare the graph of f(x) with graphs of po, P₁, P2 and p3
Transcribed Image Text:Use Taylor's theorem to expand sin (+ h) in ascending powers of h as far as the term in hª Find the Taylor's polynomial po, P1, P2 and p3 for f(x) = ln(x) at x =1 Use a graphing utility to compare the graph of f(x) with graphs of po, P₁, P2 and p3
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Find the Taylor's polynomial po, P1, P2 and p3 for f(x) = ln(x) at x =1 Use a graphing utility to compare the graph of f(x) with graphs of po, P₁, P2 and p3

 

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