# Power Series Calculator

Power Series Calculator is a free online tool that displays the infinite series of the given function. CoolGyan’S online power series calculator tool makes the calculation faster, and it displays the expanded form of a given function in a fraction of seconds.

## How to Use the Power Series Calculator?

The procedure to use the power series calculator is as follows:
Step 1: Enter the function, variable, point, order in the respective input field
Step 2: Now click the button “Calculate” to get the power series
Step 3: Finally, the power series of the given function will be displayed in the new window

### What is Meant by Power Series?

In Mathematics, a power series is defined as an infinite series which is similar to the polynomial with many terms. Usually, the power series will converge at a value “x” within a certain interval, such that the absolute value of x is less than some positive value “r”, which is known as the radius of convergence.
The general form of the power series is given by:
$$a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+…$$