Convergence and Divergence of Series

Welcome to the Convergence and Divergence of Series category on Questions LLC! This category is dedicated to exploring the fascinating world of series, and specifically, understanding their convergence and divergence. Whether you are a mathematics enthusiast, a student, or simply someone curious about the topic, this is the place to be. Here, you will find an array of insightful and thought-provoking questions related to examining when a series converges or diverges, as well as various techniques to determine their behavior. Dive in, broaden your knowledge, and engage with our community to unravel the secrets behind the convergence and divergence of series.

Questions (6)

Hello!I'm taking a Calculus course and I came up with this problem, which I'm not sure whether below method is the best one to
1. 1 answer
2. asked by Ashley
3. 151 views
How would I do this one?n=1 to infinity n^n/4^1+3*n Does it absolutely converge, conditionally converge, or diverge? What would
1. 4 answers
2. asked by James
3. 405 views
For what values of p>0 does the seriesa) Riemann Sum [n=1 to infinity] 1/ [n(ln n)^p] converge and for what values does it
1. 1 answer
2. asked by Janice
3. 412 views
I'm trying to find the radius of convergence for$(x-2)^n/(2x+1) I did the ratio test and ended up with: absolute
1. 2 answers
2. asked by Steven
3. 913 views
Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is divergent, enter NONE.sum
1. 2 answers
2. asked by Sandy
3. 565 views
test the series for convergence or divergence using the alternating series testthe sum from n=1 to infinity of (-1)^n/(3n+1) I
1. 1 answer
2. asked by sarah
3. 480 views