Howtosignalprocessing
Explanation: The period of the sum of 2 periodic functions is the LCM of their periods.
Is the sum of 2 periodic functions periodic?
The answer is well known in the case when two nonconstant periodic functions are defined and continuous on the whole real line and the operation is addition. In this case the sum is periodic if and only if the periods of summands are commensurable.
Is the period of every periodic function 2pi?
This fundamental period of a function is also called the period of the function, at which the function repeats itself. The sine function is a periodic function with a period of 2π.
