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Question Number 185574 by mnjuly1970 last updated on 23/Jan/23
f (x )= cos(2πx)+ sin(2πx) +(√( ⌊x⌋ +⌊−x ⌋)) find R_( f) =?
f(x)=cos(2πx)+sin(2πx)+⌊x⌋+⌊−x⌋findRf=?
Commented by mahdipoor last updated on 23/Jan/23
(√([x]+[−x]))= { ((0 x∈Z)),(((√(−1))=i x∉Z)) :} ⇒D_f =Z⇒f(x)=cos(2πk)+sin(2πk)+0=1
[x]+[−x]={0x∈Z−1=ix∉Z⇒Df=Z⇒f(x)=cos(2πk)+sin(2πk)+0=1

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