السؤال 9 What are all of the values of x ,such that ) (-1) n*1 converges? 6. n=1 06.2 O x26.3 0 0

Q: What are all of the values of x such that (-1)"*" (3x)" converges? 10 x>0.20 3. r>3.40 1/3

A:

Q: What are all of the values of x ,such that converges? n=1 1>0,1 0 13 X<1 4

A:

Q: ne-n² n=1 Σ 2 пе --- O converges O diverges

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 28. (Continuation of Exercise 27.) If E=1an converges, and if 1 > a, > 0 for all n, show that E=1 In…

A:

Q: 00 Suppose that p(r) = > anc" converges on (-1, 1], find the internal of convergence of p(3x – 7).…

A: Given that ∑n=0∞anxn converges on (-1,1]  To find the interval of converges of p(3x-7)

Q: 3 Jlgull What are all of the values of x ,such that (-1)" + '(2n)* converges? 00 n=1 x0.3 0

A: Using ratio test condition of convergence:…

Q: 2* converge? If so, what does it converge to? If not, justify. 7k 1 2 2. Does

A:

Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution.

Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: 11 +4 Perform a test to determine if Tx converges. 1 11 X' + 4 Does T converge or diverge? 9 1…

A:

Q: n n converges, because 0 < < 1 and an 2n + 1 2n + 1 ni an is decreasing. 2n + 1 True False

A:

Q: (-1)" Determine whether E1 converges absolutely, converges conditionally or stify your answer by…

A:

Q: (-2)" 9n + 1 n=1 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges

A: * As per our guidelines, we are supposed to answer only one question.   Since you have posted more…

Q: (a) Prove that if > ak converges absolutely and (bk) is a subsequence of (ar) then ) bk also k=1 k=1…

A:

Q: 4 n"+ 1 then Converges 9) Dinerges Test Fails None of these

A: a) converges

Q: 3)the sequence a) Convergent converge 1. z, nln(l+-)+; = -t is n 2n-1 b) divergent c) absolutely…

A: The given sequence is zn=nln1+1n+n22n-1i.

Q: The factorial of a positive integer n, denoted n!, is equal to the product of all integers between 1…

A:

Q: determine whetheer the fene Conditionally (Convergent,abtolutely onvergent or dirergent a . n= 5…

A: We have to find whether the sequence is convergent or divergent and to know whether it is absolutely…

Q: What are all of the values of x ,such that converges? n=1 x>0.10 x1.30 x<1.40

A:

Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: nk - k > 2 + 1' converges. n=1 Select one: O True O False

A: We will use limit comparison test

Q: 3. Determine whether E (-1)" converges absolutely, conditionally or diverges. Explain.

A:

Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: 1 dr converges? What are all values of p for which A p - 1/3 C p> 0 p> 1

A: See the attachment

Q: 3 9 9 27 81 20'40'80' 160

A:

Q: (-4)"n 2) Determine if £∞ n=1 Absolutely converges, converges conditionally, or diverges.

A: Ratio Test: Let∑an be a series and L=limn→∞an+1anif L&lt;1 the series is absolutely convergent…

Q: (-1)" converges absolutely, conditionally, or not at all. Determine if n! n=1

A:

Q: 5(-7)" n2 n=1 A-Converges B-Diverges C-Absolutely converges D-Conditionally converges C 8.

A: Given series∑n=1∞(-7)nn2 Now we can test convergence of series by Ratio test as follows

Q: (0) If lan diverges and (an Converges, n=1 (a) An Converges absolutely. n=D1 (b) Y An Converges…

A: We will get the conclusion by using the definition of a conditionally Convergent Series.  Option (b)…

Q: If an and bn both converge, then an bn converges. n=1 n=1 n=1 True False

A:

Q: 15.) Suppose that a (x-2) converges when x=-3, then what is the smallest possible interval of k=0…

A: The answer is :

Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

A:

Q: 10. For converging sequence (an), let f, (æ)= (ar+1-az )x*. k=1 Then, does function sequence…

A: We are given a sequence of functions,   We need to check whether it is uniformly convergent in…

Q: krge, Absolutely coverge or conditionally converge? ntl (1) n+3 °

A:

Q: (2n)! Σ n2n converges n = 1 Select one: True False

A:

Q: 9 9 7 3, 8' 4' 2' 3 5 5 17 17 13 9 5. ' 2' 33 33 25 17 11 {an}=1 4, 16' 1, 2, 2' 4' 2 8 4 32' 16' 8…

A: → The Necessary Condition for Convergent Sequence-            The necessary condition for convergent…

Q: Diin (n) Converges or diverges (n+4)3 21

A:

Q: n Σ=o(-1)n+1 (는) absolutely converges, conditionally converges or diverges. 12. Determine if

A:

Q: (1) Show that n2 +1 n=1 converges conditionally. Show that all conditions of the test used are…

A:

Q: What are all of the values of x ,such that (-1)" -". 00 converges? n=1 x120 x0.4 0

A:

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: This question is related to infinite series, we will solve it using given information.

Q: n· 3n 5n n=

A:

Q: 6. If > an converges but >lan] diverges then we can be sure that n=1 n=1 (a) an converges…

A:

Q: If > a, converges but |an] diverges then we can be sure that n=1 n=1 (a) an converges absolutely.…

A:

Q: 5) Does vergent? (-1)"n Ln=1 \n³+2 converge absolutely, converge conditionally, or di-

A:

Q: 7" (f) í(-8)*- n=1 Converges or Diverges: Sum(If Converges):

A: As this is a multiple question, according to the Bartleby answering rule, only first question is to…

Q: diverges if it is true. an n=1 Suppose > an converges. Assume the terms an are non-zero. Prove > n=1…

A: Consider the given information: Let ∑n=1∞an is convergent series. The terms of an are non-zero. To…

Q: n? Use an appropriate method to determine if converges or diverges. n³ +1

A:

Q: 3k 5- 2k+1 k=1 2 1. Does converge? If so, what does it converge to? If not, justify.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.