can you show me where the k comes from
![](https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/72/7290947.png)
Example 15. Find the odd half range erpansion of the function ì´¬ Figure 19: Odd extension of f(r), period L-2a. Extend f(x) into an odd function with period extended periodic function is odd, can represent f(x) using a Fourier sine series 2a as shown in Fig 19. Sin sin-, (L-2a) n= 1 n= 1 2 rL/2 0 a/2 a Using integration by parts (see Tutorial 8), we get 0, n evern 22, - 8K (2m-1)2,2 (-1)m+1 m= 1,2,3, Homework: show that the even half range expansion of f(x) is 16k f(z) = (See Kreyszig, 11.3, example 4) 42