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Find the Maclaurin series for the functions.$$\frac{x^{2}}{x+1}$$

$$\sum_{n=2}^{\infty}(-1)^{n} x^{n}$$

Calculus 2 / BC

Chapter 10

Infinite Sequences and Series

Section 8

Taylor and Maclaurin Series

Series

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Lectures

01:59

In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. The sum of a finite sequence of real numbers is called a finite series. The sum of an infinite sequence of real numbers may or may not have a well-defined sum, and may or may not be equal to the limit of the sequence, if it exists. The study of the sums of infinite sequences is a major area in mathematics known as analysis.

14:11

In mathematics, the partial sums of a series are the sums of all terms of the series except possibly the first and last.

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Find the Maclaurin series …

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The mac chlorine series of the function x, squared over x plus 1, first to be half the mac chlorin series of the function- 1 over 1 minus x is equal to sum, and from 0 to infinity, x, 2 n then replace x. I e x. We have 1 plus x is equal to some from 0 to infinity negative 12 n times x, to n n x, squared over 1 plus x, is equal to some from 0 to infinity into 1 to n times x, 2 n plus.

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