Lesson: Maclaurin and Taylor Series of Common Functions Mathematics • Higher Education
In this lesson, we will learn how to find the Taylor/Maclaurin series representation of common functions such as exponential and trigonometric functions and binomial expansion.
Find a power series representation for .
Find its interval of convergence.
Find the Maclaurin series of .
Use the first three terms of this series to find an approximate value of to 2 decimal places.
The function can be represented by the power series . Use the first two terms of this series to find an approximate value of to two decimal places.