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  • If [x] denotes the greatest integers non exceeding a real number x and a >0 , then the period of the function f(x)=a^(tan pix +x-[x]) is

If [x] denotes the greatest integers non exceeding a real number x and a >0 , then the period of the function f(x)=a^(tan pix +x-[x]) is

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Solution:      pd( an pi x)=fracpipi=1.

                            pd(x-[x])=1

                Rightarrow    pd( an pi x+x-[x])=1.

                herefore                pd(f)=1.  

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Deependra Verma

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