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Problem

The graph of $ f $ is shown. (a) Explain why the…

02:13

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Problem 1 Easy Difficulty

If $ f(x) = \sum_{n = 0}^{\infty} b_n(x - 5)^n $ for all $ x, $ write a formula for $ b_8. $


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Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Related Topics

Sequences

Series

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Top Calculus 2 / BC Educators
Kayleah Tsai

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Lectures

Video Thumbnail

01:59

Series - Intro

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.

Video Thumbnail

02:28

Sequences - Intro

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first "n" natural numbers (for a finite sequence). A sequence can be thought of as a list of elements with a particular order. Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series, which are important in differential equations and analysis. Sequences are also of interest in their own right and can be studied as patterns or puzzles, such as in the study of prime numbers.

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Watch More Solved Questions in Chapter 11

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Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
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Problem 35
Problem 36
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Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
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Problem 45
Problem 46
Problem 47
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Problem 49
Problem 50
Problem 51
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Problem 53
Problem 54
Problem 55
Problem 56
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Problem 60
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Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86

Video Transcript

This is the tricky problem. This is a tricky problem to South this ban. They need some information about Tara sarees. First lesson free car. So tell a serious or function. I've I point a is Eco's toe Sam Nation from zero The Infinity I eh? And it's prime. Oh, in fact, Aurea, Times X minus a to the power Andre wants this function Eco's this number, Which means it goes summation of bones from zero three infinity of be in times X minus file. So the power to let those two questions code they needed to know they have freedom to truth. Our A Because there are you thinking nine eight teller Siri's at different points so absolute we can choose a photo file to simplify this preparation as a vassal will get her infinite money. Siri's It's not a most of simplest answer for this question. So the truth, eh, ico fine. What of a guide is I've file to the power. Oh, in fact, Aurea, because we have access minus five to the power of a same Miss X man is filed the power. So the first term as he could, Toby. And so this is in creation. They can truth be eight we can calculate. Be eight B eight days. Iko too. I've file, eh? Do you really want to? Oh, eight Victoria. Andi, This calculator we can know. Ah number the value of a factory. A eco's toe for oh, three to go So maybe I done now.

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Related Topics

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Top Calculus 2 / BC Educators
Kayleah Tsai

Harvey Mudd College

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University of Michigan - Ann Arbor

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Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:59

Series - Intro

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Video Thumbnail

02:28

Sequences - Intro

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first "n" natural numbers (for a finite sequence). A sequence can be thought of as a list of elements with a particular order. Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series, which are important in differential equations and analysis. Sequences are also of interest in their own right and can be studied as patterns or puzzles, such as in the study of prime numbers.

Join Course
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