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Find the Taylor series generated by $f$ at $x=a$.$$f(x)=3 x^{5}-x^{4}+2 x^{3}+x^{2}-2, \quad a=-1$$

$$f(x)=-7+23(x+1)-41(x+1)^{2}+36(x+1)^{3}-16(x+1)^{4}+3(x+1)^{5}$$

Calculus 2 / BC

Chapter 10

Infinite Sequences and Series

Section 8

Taylor and Maclaurin Series

Series

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University of Michigan - Ann Arbor

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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.

05:52

Find the Taylor series gen…

02:28

01:44

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01:45

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