Fourier Series - Convergence

  • Thread starter NotStine
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  • #1
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Homework Statement



Please see attached image. From the given information, I am having trouble deriving the left and right hand limits, I just can't figure out what these are...

http://img176.imageshack.us/img176/9334/fstih3.png [Broken]

Homework Equations



None needed.

The Attempt at a Solution



In the solution, t is chosen as pi, which I understand. But I just can't figure out how these left and right hand limits are found. Are these limits somehow derived from limits of integration?

Here is the solution.

http://img176.imageshack.us/img176/2899/fst2yg0.png [Broken]

Any help will be appreciated.
 
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Answers and Replies

  • #2
Dick
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The limits are derived by looking at the original definition of the function. For 0<t<pi, f(t)=t^2. So as t->pi from below f(t)->pi^2. For pi<t<2*pi, f(t)=0. So as t->pi from above f(t)=0.
 

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