A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
What is the Taylor series for f(x)=sin^2(5x)?
Hint: using the identity sin^2 x = 1/2 (1cos(2x))
anonymous
 3 years ago
What is the Taylor series for f(x)=sin^2(5x)? Hint: using the identity sin^2 x = 1/2 (1cos(2x))

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[( \left( \sin \left( 5\,a \right) \right) ^{2}+10\,\sin \left( 5\,a \right) \cos \left( 5\,a \right) \left( xa \right) + \left( 25\, \left( \sin \left( 5\,a \right) \right) ^{2}+25\, \left( \cos \left( 5\,a \right) \right) ^{2} \right) \left( xa \right) ^{2}{ \frac {500}{3}}\,\sin \left( 5\,a \right) \cos \left( 5\,a \right) \left( xa \right) ^{3}+ \left( {\frac {625}{3}}\, \left( \sin \left( 5\,a \right) \right) ^{2}{\frac {625}{3}}\, \left( \cos \left( 5\,a \right) \right) ^{2} \right) \left( xa \right) ^{4}+{ \frac {2500}{3}}\,\sin \left( 5\,a \right) \cos \left( 5\,a \right) \left( xa \right) ^{5}+O \left( \left( xa \right) ^{6} \right) ) \]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Mmm what is it using the sigma notation? I was thinking something like \[\sum_{0}^{\infty} (1/2) \frac{ 1/2 (1)^k (10x)^{2k} }{ (2k)! }\] but my homework says it's wrong? :/

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.webassign.net/userimages/knownseries.jpg?db=v4net&id=154152 I used this

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I am sorry i suck at sigma notation

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh haha don't worry about it, thanks anyways! :]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I think the 1/2 and the minus are outside the sigma.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{1}{2}\frac{1}{2}\sum_{0}^{\infty}\frac{(1)^{k}(10x)^{2k}}{(2k)!}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh outside? Great, thanks a lot! :]
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.