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

$$f(x)=8+10(x-2)+6(x-2)^{2}+(x-2)^{3}$$

Calculus 2 / BC

Chapter 10

Infinite Sequences and Series

Section 8

Taylor and Maclaurin Series

Series

Oregon State University

University of Michigan - Ann Arbor

University of Nottingham

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.

02:28

Find the Taylor series gen…

04:06

00:45

01:06

2500. Find Tyler serious. What is the tenor of terrorists? Here it is. So we want to calculate a prying prime time. So? So I've Prime Max is, uh, three expire minus too right? And I find prying. Max is the stakes acts, uh, prime prime Prime Max. It just takes Ah Oh, a next zero. Or in these Quit her equal four. So just write it, uh, effects is equals two when a is too. So after two schedule it after after its age minus four plus four. So it is the age first when actually posted to have prime access slough minus two. So it's 10. I am sacks minus two, right? And plus when actually according to well, you need by two oratorio times, I exploit us too square. So that's a sakes. Right? And us. The next equals two. That's just a safe and guided by six. So x minus two Q. And here's that. I think that all zeros So you just ignore it of here. It's a fact. The tenants, every cell factor

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