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  • Period of the function f(x)=sin(sin(pix)) +e^[3x] , where . denotes the fractional part of x is

Period of the function f(x)=sin(sin(pix)) +e^[3x] , where . denotes the fractional part of x is

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Solution: As, sin(pi x) has period =left | 2pi /pi ight |=2

herefore                   sin(sin(pi x)) has period 2

and               e^3x has period 1/3

herefore              Period of f(x)=sin(sin(pi x))+e^3x is

                 LCM of 2,1/3=2

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Deependra Verma

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