# The period of summation functions

1. how do i find the period of summation of some function ie: 2^-k or cos(pi k) multiplied by some complex exponential ei7kt

ie: f( t ) = $$\sum$$
2-kei7kt

2. does anyone know the formula for finding the period of summations of complex exponentials? note this is for fourier

3. would i say that omega is 7k by Euler's method. if i converted to sines and cosines, thus the period T = 2pi/7?
is this how i would find the period of this summation?

## Answers and Replies

The definition of periodicity is as follows:
If T is the period of a function f(t) then,
f(t+ T) = f(t).

The definition of periodicity is as follows:
If T is the period of a function f(t) then,
f(t+ T) = f(t).

i think so thanks

You are welcome. :-)

You are welcome. :-)

my friend said i am wrong.......?

my friend said i am wrong.......?
What is his reasoning ?