# How to find a maclaurin series

A Maclaurin series is the specific instance of the Taylor series when a=0. Remember that we can choose any value of “a” in order to find a Taylor polynomial. Maclaurin series eliminate that choice and force us to choose a=0.

## 10.3: Taylor and Maclaurin Series

First, take the function with its range to find the series for f (x). The Maclaurin formula is given by \ ( f (x)=∑k=0^∞ f^k (a)* x^k/ k! \) Find f^k (a) by evaluating the function derivative and adding

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## Taylor series

The Maclaurin series of a function. f ( x) up to order n may be found using Series. [ f, x, 0, n] . It is a special case of Taylor series when x = 0. The Maclaurin series is given by. f ( x) = f ( x 0) + f ′ ( x

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## Learn the Formula of Maclaurin Series

f(4)(x) =sin(x) f ( 4) ( x) = s i n ( x) Notice that the derivatives repeat every four derivatives. Moreover, since the Maclaurin series is centered at zero, simply plug in zero into
x

## An Easy Way to Remember the Taylor Series Expansion

Introduce the notion of Maclaurin series Cover the basic Maclaurin series (sine, cosine, exponential, logarithm) Indicate how to build new series from the basic series Examples: Find

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