Question 3 (25 points) For the given periodic function f(x) =***** (a). (5 points) SketchRx) on the interval (-31 3a]. (

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Question 3 25 Points For The Given Periodic Function F X A 5 Points Sketchrx On The Interval 31 3a 1 (18.56 KiB) Viewed 37 times

Question 3 (25 points) For the given periodic function f(x) =***** (a). (5 points) SketchRx) on the interval (-31 3a]. (b). (10 points) Show that the Fourier series of f(x) satisfies »-** 3 case) costru FS f(x) n=1,3,5 (e), (7 points) Based on the result of 3(b), show that = 1 +*++*+ and 1+ (d). 3 points) Does there exist some values of x, for which the series fails to converge to (x)? If yes, to what values does it converge at those points? If not, justify your result.