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Question

Constant functions are periodic functions with no fundamental period


A

True

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B

False

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Solution

The correct option is A

True


Constant functions are periodic functions as they satisfy the conditions of being a periodic function which f(x) = f(x +T). But in case of constant function the fundamental period of the function which is T is not defined. As we’ll not be able to find the smallest interval after which the functions repeats. We can say function is periodic with any positive real number, but the fundamental period, which is the least value of among all periods is not defined.


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