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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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