1

Even or odd

Question

Even or odd

Determine if the given function is even or odd. If the function is even find its Fourier cosine series representation and if the function is odd find its Fouriersine series representation.


Answers

let , x>0

∴ xε (0 , 5)

f(x) = 8

Also '-x'ε (-5 , 0)

f(-x) = 2

∴ f(-x)≠ f(x) , Hence , f(x) is not an even function ...

Also ,f(-x)≠ -f(x) ,Hence , f(x) is not an odd function ...


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