Exponential fourier series expansion

[Mitchy190]

Hey, thanks for taking the time to look ay my post (:

I have attached a file which shows the question I am stuck on, and my attempt at working it out.

My problem is the answer I get, is different to what my Lecturer gets (shown in the attachment). He worked it out a different way to me, he did not take into account that you can simply the equation Cn as x(t) is an odd function (This is all shown in the attachment).

This is where I would like some help, could some kind chappy please have a look at my work and maybe point me in the right direction if I have gone astray, or even tell my why the answer I have got occurs if it is correct?

Thank you very much, MitchThe question and attempt at solution:

View attachment Fourier.pdf

 

[rude man]

Your and his answers are the same!
-j = 1/j

 

[Mitchy190]

Now I feel stupid haha!

Thanks though (:

 

[rude man]

Now I feel stupid haha!

(:

Don't!

 

[rezeew]

Hello Mitch,

Exponential Fourier series expansion is a mathematical tool used to represent a periodic function as a sum of exponential terms. It is commonly used in signal processing and engineering applications.

In regards to your question, it is difficult for me to provide specific help without seeing the attached file. However, it is important to note that there can be multiple ways to approach and solve a problem, so it is possible that your lecturer's method may differ from yours but still yield the correct answer.

If you are unsure about your solution, I would recommend discussing it with your lecturer or a classmate to gain a better understanding. It is also helpful to review the concept of odd functions and how they can simplify the calculation of the Fourier coefficients.

I hope this helps and good luck with your studies!