In the interval [-7, 7] the function d,, is defined: Sn(x) = n for 0 for = x <1/(2n) x>1/(2n) (a) Find the Fourier

  

In the interval [-7, 7] the function d,, is defined: Sn(x) = n for 0 for = x 1/(2n) (a) Find the Fourier series of dn(x) as a Fourier cosine and sine expansion. (b) Simplify your result (a) in the limit of n. Note that this agrees with the Fourier expansion of the Dirac Delta function (x).