Is This Periodic Function Even, Odd, or Neither?

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The discussion focuses on determining the characteristics of a periodic function, specifically whether it is even, odd, or neither, and how these properties relate to its Fourier series representation. The user is analyzing a graph of the function with period T and seeks clarification on the implications of its symmetry features for the Fourier series. The consensus is that the function's evenness or oddness directly influences the presence of specific harmonics in its Fourier series, with even functions containing only cosine terms and odd functions containing only sine terms.

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Hello I am stuck on the following question:

Consider the following graph of a periodic function, period T.
http://img157.imageshack.us/img157/4337/waveme4.png

(a) Clearly giving the reasons, state whether this function is even, odd or neither.

(b) With reference to all relevant symmetry features, state which parts of which harmonics are present in the Fourier series representation of this periodic function.

I have attempted part A and think I have done it correctly, however I have no idea where to start with part b. Any help would be greatly appreciated.

Thanks!
 
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liam2708 said:
(a) Clearly giving the reasons, state whether this function is even, odd or neither.

(b) With reference to all relevant symmetry features, state which parts of which harmonics are present in the Fourier series representation of this periodic function.
Doesn't the answer to part (a) tell you things about the Fourier series?
 

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