Answer Happy

For the given periodic function f(x)= |x|-T

Posted: Mon May 09, 2022 11:04 am

by answerhappygod

For The Given Periodic Function F X X T X T X 2 F X A 5 Points Sketch F X On The Interval 31 31 B 1 (31.59 KiB) Viewed 27 times

For the given periodic function f(x)= |x|-T<x<T (x + 2) = f(x) (a) (5 points) Sketch f(x) on the interval (-31 31]. (b). (10 points) Show that the Fourier series of f(x) satisfies π 4 FS f(x) -ΞΗΣ Ž (?cos(nx)) n=1,3,5.. (c). (7 points) Based on the result of 3(b), show that 772 * = 1 + 53 +... T12 and = 1+2 + that + + 8 (d). (3 points) Does there exist some values of x, for which the series fails to converge to f(x)? If yes, to what values does it converge at those points? If not, justify your result.