A= 1 B = 1 C = 5 f (x) = cos (Tx) for -1/2

handwritten solution for part c

Extracted text: A= 1 B = 1 C = 5 f (x) = cos (Tx) for -1/2 < x="">< 1/2.="" let="" the="" function="" be="" defined="" by="" (a)="" sketch="" f="" (x)="" on="" the="" interval="" [-2,2],="" given="" that="" f="" (x="" +="" 1)="f" (x)="" (b)="" show="" that="" the="" fourier="" series="" of="" f="" (x)="" is="" (-1)"="" (2n)²="" –="" 1="" 2="" 4="" cos="" (2ntx)="" -="" to="" solve="" this,="" you="" can="" use="" the="" following="" similarity="" 2="" cos="" a="" cos="" b="cos" (a="" +="" b)="" +="" cos="" (a="" –="" b).="" c)="" use="" the="" fourier="" series="" to="" calculate="" the="" sum="" of="" the="" series="" –1)"="" š(-1)"="" 4n²="" –="">