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?
The inputs for the calculator are:
- Function f(x) for which u need Maclaurin series expansion
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.
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.
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.