A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
If a serie is convergent does it mean the serie can be rewritten as a taylor polynomial but it can't be rewritten if it's divergent? If not what's the meaning of convergence I don't think I get the textbook approch?
 2 years ago
If a serie is convergent does it mean the serie can be rewritten as a taylor polynomial but it can't be rewritten if it's divergent? If not what's the meaning of convergence I don't think I get the textbook approch?

This Question is Closed

mathmate
 2 years ago
Best ResponseYou've already chosen the best response.0If the series is given by \( S=\sum_{i=1}^\infty a_i \), and the partial sum to n terms defined by \(S_n = \sum_{i=1}^n a_i \), then S is said to be convergent if for any \(\epsilon >0\) N can be found such that \( S_kS_N<\epsilon\) \( \forall k>N \). A Taylor polynomial is a Taylor's series truncated after the first n terms, where \(n<\infty \).
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.