Simple Sinx Expansion (General Term Help)

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SUMMARY

The discussion focuses on expanding the sine function, specifically sin(x), around the point x=π/4. Participants emphasize the importance of identifying a pattern in the series expansion to derive the general term. To validate the identified pattern, mathematical induction is recommended as a method of proof. This approach ensures a systematic understanding of the series expansion process.

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  • Understanding Taylor series expansion
  • Familiarity with the sine function and its properties
  • Knowledge of mathematical induction
  • Basic calculus concepts
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Homework Statement



expand sinx about the point x=pi/4



Homework Equations





The Attempt at a Solution



I know how to find each individual terms but how do I got about finding the general term for this series?
 
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bmb2009 said:

Homework Statement



expand sinx about the point x=pi/4

Homework Equations



The Attempt at a Solution



I know how to find each individual terms but how do I got about finding the general term for this series?
Look for a pattern.

If you need to prove that the pattern is correct, use induction to prove it.
 

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