neither

f(x)=cos x/{[2x/pi]+0.5} where xâ‰ integral multiple of pi,[.]=greatest integer function

is f(x) even/odd/neither

1 Answers

firstly note that [x]+[-x]=-1 if x is a non integer..

so here, whenever x is not a multiple of pi/2 then

[2x/pi]+[-2x/pi]=-1
-[2x/pi]-1/2=[-2x/pi]+1/2

f(-x)=-f(x) if x is not a multiple of pi/2

Now can you finish the simple incomplete part and hence the question?

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