Understanding the Derivation of Taylor Series

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SUMMARY

The discussion centers on the derivation of Taylor Series, specifically referencing Taylor's theorem as outlined in section 10.2 of a lecture note from IIT Kanpur. A user expresses difficulty in finding a proof for the Taylor Series, prompting another user to share a resource that provides the necessary information. The shared document is a valuable tool for understanding the mathematical foundations of Taylor Series.

PREREQUISITES
  • Understanding of calculus concepts, particularly limits and derivatives.
  • Familiarity with Taylor's theorem and its applications.
  • Basic knowledge of mathematical proofs and theorems.
  • Access to mathematical resources such as lecture notes or academic papers.
NEXT STEPS
  • Review the provided lecture notes on Taylor's theorem from IIT Kanpur.
  • Study the derivation of Taylor Series in calculus textbooks.
  • Explore additional resources on mathematical proofs related to Taylor Series.
  • Practice problems involving Taylor Series to solidify understanding.
USEFUL FOR

Students of calculus, mathematicians, and educators seeking a deeper understanding of Taylor Series and its derivation.

gursimran
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I read wikipedia article also but I can't find the proof of taylor series and from where it came from??
 
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Hi gursimran! :smile:

Check out "home.iitk.ac.in/~psraj/mth101/lecture_notes/lecturer10.pdf"[/URL]
Taylor's theorem is 10.2
 
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oh yeah!
thanks a lot..
 

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