A community for students.
Here's the question you clicked on:
 0 viewing
swissgirl
 4 years ago
What are the first 3 terms of the Taylor expansion for the function \(f(x)=e^{2x}\)
swissgirl
 4 years ago
What are the first 3 terms of the Taylor expansion for the function \(f(x)=e^{2x}\)

This Question is Closed

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0\(f(x)=e^{2x}\) \(f'(x)=2e^{2x}\) \(f''(x)=4e^{2x}\)

perl
 4 years ago
Best ResponseYou've already chosen the best response.1the taylor series is , does it say about x = 0 ? i assume it is

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0I am assuming that x=0 too

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0I am not sure why we assume x=0 in this case but whtvr

perl
 4 years ago
Best ResponseYou've already chosen the best response.1sum f^(n) (a) (xa)^n / n! = f(a) + f'(a) (xa) + f '' (a) (xa)^2/2! + ...

perl
 4 years ago
Best ResponseYou've already chosen the best response.1we dont have to, it just makes it much cleaner

perl
 4 years ago
Best ResponseYou've already chosen the best response.1and by cleaner i mean simpler , since x  0 = x , instead of x  1 or x  2 , etc

perl
 4 years ago
Best ResponseYou've already chosen the best response.1so now lets plug in f(0) + f'(0) *x + f ' ' (0) * x^2/2 + ... , since we want just the first three terms

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0So our answer wld be 1+2+2?

perl
 4 years ago
Best ResponseYou've already chosen the best response.1e^(2*0) + 2*e^(2*0) * x + 4*e^(2*0) *x^2/2

perl
 4 years ago
Best ResponseYou've already chosen the best response.1, remember a taylor series is approximating a complicated function (here exponential) with a less complicated function (polynomial)

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0Yaaaa I think I get it

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0I get it lol just need to know how to enter it into a program. Just gotta fiddle around. THANKS

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0THANKKSSSSS :))))))))

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0Ok figured it out. Thanks for ur help

swissgirl
 4 years ago
Best ResponseYou've already chosen the best response.0U got ur medal even b4 i got my answer :P
Ask your own question
Sign UpFind 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.