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Use the binomial series to expand the function as a power series. State the radius of convergence.

$ (1 - x)^{3/4} $

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Calculus 2 / BC

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Sequences

Series

Campbell University

Oregon State University

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.

02:28

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.

01:29

Use the binomial series to…

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Use (4) to find the first …

the problem isthe use the phenomenal Siri's to expands function as a power. Siri's states the readers of ca Mertens one minus X to the power of three over four. So bad for murder. We have to city Hall to song from zero to twenty three four and have selective ax to the panel. Then computes the limit three or four and plus one house if you want to part of plus one over three for and I'm snake to one apartment. So why do you This is a country limit and cost to infinity three home off or minus and you have a radio over and plus one which is the true one. So the rears off emergence Is it true what?

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