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.
- Introduction
- Algebraic Operations On Functions
- Type of Functions
- Composition of functions
- Invertible Functions
- Domain and Range of Inverse Trigonometric Functions
- Odd And Even Functions
- Periodic Functions
- Methods to Find Period of A Periodic Function
- Signum Function
- Greatest Integer Function
- Modulus Function or Absolute Value Function
- Rational And Irrational Function
- Algebraic And Transcendental Function
- Explicit Function
- Exercise 1
- Exercise 3(Subjective)