f(x)=|cos x| prove that it is periodic
f(x)= [x] prove that it is non periodic
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1 Answers
85f(x+Ï€)= mod(cos(x+Ï€))= mod(-cosx)=mod(cosx)=f(x)
hence f(x) is periodic with period π
from the graph of greatest integer function we can observe that after definite intervals of x we obtain different values of y i.e the value of y does not repeat hence its not periodic
