The **Maclaurin Series Calculator** is a free online tool that displays the expansion series for a given function. The Maclaurin series calculator web tool accelerates the computation and displays the expanded series in seconds.

## How Do I Use the Maclaurin Series Calculator?

### Input

The inputs for the calculator are:

- Function f(x) for which u need Maclaurin series expansion

### Steps

The calculator is used as follows:

- Enter the required function in the given input area.
- To obtain the result, click the “Submit” button.
- Finally, in a popup, the expansion series for the selected function will be shown.

### Output

The outputs of the calculator are:

- Input interpretation
- Series expansion at x=0
- Approximations about x=0 up to order 4:
- Series representations:

## What is Maclaurin’s Series?

Firstly to understand the Maclaurin series, we need to understand the Taylor Series or Taylor Polynomial. Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point.

With that said, a Maclaurin Polynomial or the Maclaurin series is basically a special case of the Taylor Polynomial, that uses zero as our single point.

## FAQ

**Is Maclaurin series the same as Taylor series?**

The Taylor Series, or Taylor Polynomial, is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. A Maclaurin Polynomial, is a special case of the Taylor Polynomial, that uses zero as our single point.

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