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QUESTION 2 Given two periodic functions, f(t) and g(t) is defined by and f (t) = cos, -<t<t f(t)= f(t +26) g(t) = cos, 0<t<2n

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Solution Given that (-7,0) UTTO) 377,0) (3.0) 0 X f(x) - cos , -ILALT, glt) = 2, 0LLL 2T fit) - flttati), git) - 91 Hat) 1 ftPit) clo can cosnt + bo sprint) + n=1 F a j fuldt ao *2. 1980) T scos Edt (1) T oft ao - 4 an a tr s flt) cosnt at 1 7 stat Tbp . + 6 TDI So, g#) 0+0+ MUSEO n1 964) observe that while g bas only converges absolutely this only fourier to the sin cate)

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