# Power Series Calculator

The Power Series Calculator is a web tool that displays the infinite series of a function. The online power series calculator application by Protonstalk accelerates calculations by presenting an expanded representation of a function in seconds.

### Inputs

The inputs of the calculator are:

1. The function
2. Variable
3. Point
4. Up to Order

### Steps To Use

The calculator is used as follows:

1. Enter the inputs in their respective input text areas.
2. Now, click the “Calculate” button to obtain the power series.
3. Finally, in the new window, the specified function’s power series will be presented.

## What is Power Series?

A power series is basically an infinite series that is comparable to a polynomial with many terms. The power series will usually converge to a value “x” within a given period, such that the absolute value of x is less than some positive number “r,” which is known as the radius of convergence.

General form of a power series is as follows

$$\sum_{n=0}^{\infty} c_n (x−a)^n$$

Where $$c_n$$’s are the coefficients of series

## FAQ

What is a power series?

A power series is any series that can be written in the form, $$\sum_{n=0}^{\infty} c_n (x−a)^n$$. where a and cn are numbers. The cn ‘s are often called the coefficients of the series.

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