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Maclaurin Series Calculator

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:

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

Steps

The calculator is used as follows:

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

Output

The outputs of the calculator are:

  1. Input interpretation
  2. Series expansion at x=0
  3. Approximations about x=0 up to order 4:
  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.

Maclaurin series calculator

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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