Answered: Using the nth term divergence test,…

Using the nth term divergence test, comparison test, limit comparison test, ratio test, or root test to determine whether the following converges or diverges and please note which test you are using:

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

See similar textbooks

Related questions

Q: Use Divergence Test, to decide whether the given infinite sum is convergent or divergent. п — 1 (1)…

Q: Use the ratio test to find the interval of convergence of Vngn n = 1 To receive any credit, your…

A: ∑n=1∞ xnn9n

Q: Test if the following converges or diverges. Show work and pecify the test you use.

A: Given∑n=1∞(-1)n-1n+7 ......(1)∑n=1∞(-1)n-1(n+7)12According to exponent rule we know that…

Q: Ide being used. n'

Q: Please show all work using clear explanation of your reasoning: Use the Comparisson Test to…

A: Objective is to check the convergence

Q: Determine whether the sequence converges or diverges. If the sequence converges, find the limit.…

A: Hair we have to use the L Hopital's rule to find the limit.

Q: Please show all work using clear explanation of your reasoning: Determine convergence or…

Q: Use the limit Comparison Test to determine the convergence or divergence of the series. 00 ΣΗ 2n + 1…

Q: n3"(n + 1)! 5"n! n=1

A: Here we have, ∑n=1∞n3n(n+1)!5n(n)! We have to determine convergence or divergence.

Q: 1. Use any method for determining the convergence/divergence of the following (but the method must…

Q: Find the radius of convergence and the interval of convergence. k +8 Radius of convergence: Interval…

Q: ř(-1)"(3n – 1)" (5n)" n=1

Q: Test for Convergence or Divergence.

Q: Use root or ratio test to determine whether series converges, diverges, or conditionally converges

Q: an= 2n %3D 3nt1

A: Given:

Q: n+1 1. Σ. Znal 2n- 3

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Question:- Apply any appropriate test for convergences diurges or an-1 4"

A: Ratio test: Let us consider positive ∑an l=limn→∞an+1an If l<1 then ∑an converges. If l>1…

Q: Test for divergence or convergence. Please name test

A: In order to check the given series is convergent or divergent use logarithmic test, which is given…

Q: Does dz converge or diverge? Why?

Q: Find the radius of convergen

A: Introduction: Let ∑n=1∞an is power series, then the radius of convergence of this power series is…

Q: 4k + 1

Q: a, = tanhn

A: To find whether the sequence converges or diverges. an=tanhn

Q: Use either root test or ratio test (you don't have to do both) to see whether the series Στή…

A: Given series is We will use Root test to check the convergence of the series.

Q: IM eries Which statement about the Divergence Test applies to this n=1 s converges by the Divergence…

Q: Find the radius of convergence and the interval of convergence. 00 (x+ 6)* k=0 Radius of…

A: We will find the radius of convergence and interval of convergence as shown below

Q: check if the fixed point itteration converge or diverge for (x^3/3)+4 in interval [4,5]

A: f(x) = (x^3/3)+4

Q: Σ -1 arctan n n=1

Q: determine whether the sequence an=square root of 1+9n^2/1+n^2 converges or diverges. if it converges…

A: This question is about application of sequence

Q: Find the radius of convergence and the interval of convergence. Σ (k+3 k=0 Radius of convergence:…

Q: Use the Ratio Test to find the radius of convergence of 2n= 10 (Use symbolic notation and fractions…

A: Solution of question is written in below steps.

Q: Find the radius of convergence and the interval of convergence. k (x+2)* k= Radius of convergence:…

A: First i I have find the Radius of convergence using formula and then find the interval of…

Q: Using the nth term test for divergence, the series

A: ∑n=1∞an=∑n=1∞32n+1n Divergence Test:- If limn→∞an≠0 so series diverges Here…

Q: #6) Deler mine whether converges diverges, Calculatk limit an n+3

Q: rgence. If result is converg

A: Introduction: A telescoping series is one in which each term uk may be expressed as uk=tk-tk-1 for…

Q: Which Convergence Test uses the following limit? limoo ak O Ratio Test O Root Test Op-series O Limit…

Q: If Ean Converges, then lim (antanittamak intantit n-> 8 Does this implies that Ean converges: Give…

A: We have to proove it by counter example.

Q: etermine whether the serres Converges 12 Live age or duer 1- onditionally absoutely 3ntl

Q: 14. Divergent or convergent? If convergent, show the limit nsin(n) an n2 + 1

Q: Find the value of bn used for the direct comparison test to find convergence or divergence.

A: Solution: The objective is to find bn and determine whether the given series is convergent or…

Q: SELECT ALL APPLICABLE CHOICES A) converges by ratio test by using the Limit Comparison Test 3 B) is…

Q: using root test, determine if this is convergent or divergent. explain

Q: Inn Use the basic comparison test to determine whether E-1 converges or nvn diverges.

Q: Using the direct comparsion test, does Sigma infinity, n=1 1/sqrt n^3 +1 converge or diverge? Make…

A: Given series is Consider the series

Q: Please show all work using clear explanation of your reasoning: Determine convergence or divergence…

Q: What are the Ratio and Root Tests? Do they always give you the information you need to determine…

A: A mathematical series can be convergent or divergent subject to certain conditions. Ratio test and…

Q: A sequence {an} is bounded below and nonincreasing. Does {an} converge or diverge? Use a graph to…

A: Given: A sequence {an} is bounded below and nonincreasing. We have the given sequence is…

Q: e root test to determine ies converges or diverge ie: enverges

Q: Determine whether they converge or diverge using the comparison test

A: We have to determine the given condition is convergent or divergence

Question

100%

Using the nth term divergence test, comparison test, limit comparison test, ratio
test, or root test to determine whether the following converges or diverges and
please note which test you are using:
- 1
(a) >
n4
n
n=1
00
2
(b) Σ
3n + 4
n=1
(f) 5 n!
(3n)!
n=1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Series$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

options for a are converges or divergesoptions for b are 1, 2, 3, 4, or 5options for c are -1/3, 0, 3, 1, -1
Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.∑n=1∞enn!ρ=limn→∞|an+1an|= (Enter 'inf' for ∞.) ∑n=1∞enn! is:A. convergentB. divergentC. The Ratio Test is inconclusive
Does the sequence an converge or diverge? Find the limit if the sequence is convergent. an=2+6n4/n4 + n4+4n3 does the sequence diverge? If the sequence converges. To what Iim n-->infinity an=?
Using the definition of convergence to show: If Sn is a convergent sequence, then |Sn| is also a convergent sequence and their limit are same
true or falseIf it is true, explain why. If it is false, provide a counterexample.a) Every decreasing sequence of positive numbers is convergent. b) If a sequence {an} is divergent, then it is not bounded.
Test the series below for convergence using the Ratio Test.∞∑n=0 (-1)^n 8^2n+1/(2n+1)! The limit of the ratio test simplifies to limn→∞|f(n)| wheref(n)=The limit is: (enter oo for infinity if needed)Based on this, the series does it diverge or converge
Determine the interval of convergence and the radius of convergence. Test endpoint convergence. S= Σ (-1)^n x^n/ 3^n
1. Determine whether the following sequences and series’ converge or diverge. If a sequence converges, find its limit. If a series converges, find its sum. Show all work. Exact sums, no decimals. a. {(n-1)!/(n+1)!} Converges or diverges:_________________ limit (if converges):_____________ b. {7n/(-8)n-1} Converges or diverges:________________ limit(if converges):_______________ c. {1-(-1)n/n+1} Converges or diverges:________________ limit (if converges):________________ d. -2, 5/2, -25/8, 125/32,... Converges or diverges:________________ limit(if converges):_________________ e. -2+(5/2)-(25/8)+(125/32),... Converges or diverges:________________ limit (if converges):________________
1). State whether the statement is true, or give an example to show that it is false. If ∞ n = 1 anxn converges, then anxn → 0 as n → ∞. i). True ii) False; consider an = 1 n + 1 iii) False; consider an = n + 1 False; consider an = nn iv) False; consider an = 1 n! please show all the work clearly .
1). Apply the ratio test to the series.∞n!6n3 n=1 Find the limit lim n→∞ an+1an . Use your result to determine the convergence of the series.absolutely convergentdivergent inconclusive please show step by step .
Z X, is divergent by Direct Comparison Test. Z Xp is diyergenf by nth-Term Test. Z X, is convergent by Direct Comparison Test.