Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Test the series for convergence or divergence.
$ \displaystyle \sum_{n = 1}^{\infty} \left( \frac {n}{n + 1} \right)^{n2} $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Gabriel Rhodes
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 11
Infinite Sequences and Series
Section 7
Strategy for Testing Series
Sequences
Series
Missouri State University
Campbell University
Baylor University
Boston College
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.
02:51
Test the series for conver…
01:57
04:27
0:00
03:19
00:40
00:55
No transcript available
View More Answers From This Book
Find Another Textbook
04:55
Give the rank and nullity of the matrix below:0 3 2 -A =Step 1
02:19
The height of a cylinder is decreasing at a constant rate of _ The volume re…
02:56
Find the number of units X that produces 3 maximum revenue R R = 45x2 _ 0.02…
04:10
Calculate y and y' for the equation y {x? =2 Express Y in terms of x an…
03:25
Determine whether each sequence below converges or diverges. If the sequen…
02:32
Find the critical points of f. Assumeconstantffx) =18xSelect…
02:26
Question 4Let X be a random variable with pdf CX, 3 < x < 0 flx) c…
02:41
Assume that we want t0 construct confidence interval: Do one of the followin…
01:31
9.A cat has litter of kittens_ Ifthe probability is 0.52 that kitten will be…
01:42
Let 0 be an angle in quadrant III such that cos0 =Find the exact values …
