A community for students.
Here's the question you clicked on:
 0 viewing
idku
 one year ago
tell me if I am doing this correctly. I haven't touched math for a while now.
idku
 one year ago
tell me if I am doing this correctly. I haven't touched math for a while now.

This Question is Closed

idku
 one year ago
Best ResponseYou've already chosen the best response.0(I am just reviewing some concepts from the past) I want to find the power series representation for \(\displaystyle\large\color{black}{\tan^{1}(x)}\) now I will show my work....

idku
 one year ago
Best ResponseYou've already chosen the best response.0\(\displaystyle\large\color{black}{\frac{1}{1x}=\sum_{n=0}^{\infty}x^n}\) \(\displaystyle\large\color{black}{\frac{1}{1+x}=\sum_{n=0}^{\infty}(1)^nx^n}\) \(\displaystyle\large\color{black}{\frac{1}{1+x^2}=\sum_{n=0}^{\infty}(1)^nx^{2n}}\) \(\displaystyle\large\color{black}{\int \frac{1}{1+x^2}~dx~=~\int~\sum_{n=0}^{\infty}(1)^nx^{2n}~dx}\) \(\displaystyle\large\color{black}{\tan^{1}(x)~=~\sum_{n=0}^{\infty}\frac{(1)^nx^{2n}}{2n+1}}\)

idku
 one year ago
Best ResponseYou've already chosen the best response.0and I am not placing +C, because I am looking for specific function  representation and not a family of functions.

idku
 one year ago
Best ResponseYou've already chosen the best response.0\(\displaystyle\large\color{black}{\tan^{1}(x)~=~\sum_{n=0}^{\infty}\frac{(1)^nx^{2n+1}}{2n+1}}\)

idku
 one year ago
Best ResponseYou've already chosen the best response.0this should be correct, if I didn't err anywhere once again.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1What's the problem here? You already represented \(\tan^{1}(x)\) as series in your other question here.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1http://openstudy.com/users/idku#/updates/554a6664e4b048e824ff3507

idku
 one year ago
Best ResponseYou've already chosen the best response.0yeah forgot about that..... my apologies.

idku
 one year ago
Best ResponseYou've already chosen the best response.0tnx for the confirmation, and bye:)
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.