In the interval [-7, 7] the function d,, is defined: Sn(x) = n for 0 for...

  

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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 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). 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 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).