A real-valued function/ is said to be periodic with period T if f(x + T) = f(x). For
Chapter 12, Problem 21(choose chapter or problem)
A real-valued function/ is said to be periodic with period T if f(x + T) = f(x). For example, 41T is a period of sin x since sin(x + 41T) = sin x. The smallest value of T for whichf(x + T) = f(x) holds is called the fundamental period off.For example, the fundamental period off (x) = sin x isT = 21T. What is the fundamental period of each of the followingfunctions?(a) f(x) = cos 21Tx(b) f(x) = sin x(c) f(x) = sin x + sin 2x(d) f(x) = sin 2x + cos 4x(e) f(x) = sin 3x + cos 2x(f) f(x) =Ao+ (An cosn1Tx + Bn sin n1Tx),An andBnn=l P Pdepend only on n
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