Periodic Functions

Functions of Class 11

Periodic Functions

A function f(x) is said to be a periodic function of x if there exists a positive real

number T such that f(x+T) = f(x), ∀ x e.g. tan(π + x) = tanx.

If positive values of T independent of x then f(x) is a periodic function; and if the value of T depends upon x; then f(x) is not periodic. The smallest positive value of T is called period of the function.

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