The MacLaurin series is a special case of the Taylor series.

The following power serie

is not convergent at any point.

Determine the parity of the following functions (written in Fourier-series)!

Select which of the following functions are periodic.

Consider the following Taylor series.

Considering only the first 4 terms, around which point this serie gives an accurate estimate of ?

Select which of the following functions are even.

Consider the following power serie

The power serie is convergent at point .

Choose the linear differential equations from the below list!

We know, that the roots of the characteristic polynomial of the following second order differential equation

are . Match the correspoding general solution for the different type of roots. 

For each differential equation choose the corresponding class of differential equations from the list!