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First, practice your Taylor Expansion skills by deriving the TE form of sin(x) to the third order. Now, to neglect the third order term in this expression, say we require it to be at least 600 ties smaller than the first order term. What is the range of x that satisfy this condition? How relevant are the higher order terms in the permitted range of x?

First, practice your Taylor Expansion skills by deriving the TE form of sin(x) to the third order. Now, to neglect the third order term in this expression, say we require it to be at least 600 ties smaller than the first order term. What is the range of x that satisfy this condition? How relevant are the higher order terms in the permitted range of x?

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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First, practice your Taylor Expansion skills by deriving the TE form of sin(x) to the third order. Now, to neglect the third order term in this expression, say we require it to be at least 600 ties smaller than the first order term. What is the range of x that satisfy this condition? How relevant are the higher order terms in the permitted range of x?
Transcribed Image Text:First, practice your Taylor Expansion skills by deriving the TE form of sin(x) to the third order. Now, to neglect the third order term in this expression, say we require it to be at least 600 ties smaller than the first order term. What is the range of x that satisfy this condition? How relevant are the higher order terms in the permitted range of x?
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