Taylor and Maclaurin Series Calculator (Free)
Use this free Taylor and Maclaurin series calculator to expand a function about any center to a chosen order. It returns the coefficients, the Taylor (or Maclaurin) polynomial, and a graph comparing the approximation to the true function.
Taylor vs. Maclaurin
A Taylor series expands a function around a center a using its derivatives there. When the center is a = 0 it is called a Maclaurin series.
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Pick a function (eˣ, sin x, cos x, ln x, 1/x, 1/(1−x)).
- Enter the center a and the order n.
- Press Expand to see the polynomial, coefficients, and graph.
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Frequently asked questions
What is the difference between Taylor and Maclaurin series?
A Maclaurin series is simply a Taylor series centered at a = 0.
Original price was: $109.99.$54.99Current price is: $54.99.
Which functions are supported?
eˣ, sin x, cos x, ln x, 1/x, and 1/(1−x), about any valid center.
Original price was: $109.99.$54.99Current price is: $54.99.
Why does the approximation drift away from the curve?
A finite Taylor polynomial matches the function best near the center and becomes less accurate the further you go.
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