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If f(x)=sign(x−2)+|x+2| for (-4,4] and you extend f(x) to a periodic function on the real line,...

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Advance Math

If f(x)=sign(x−2)+|x+2| for (-4,4] and you extend f(x) to aperiodic function on the real line, and F(x) is the Fourier seriesof f(x). Which of the following options are correct? (Select allthat apply.)

I. F(1)=2.

II. F(0)=1.

III. f(x) is continuous on the interval.

IV. F(x) is an odd function.

V. F(x) is continuous on the interval.

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