Determine if the sequence {an}n=1 3n3 with an = converges. If it converges write its /2n6...
Q1 (5 points) Does the sequence a n converge or diverge? If it converges, find its limit. + Drag and drop your images or click to browse
(1 point) Write out the first five terms of the sequence determine whether the sequence converges, n=1 and if so find its limit. (-1)+1 Enter the following information for an = (n+1)2 lim (-1)^+1 n+ (n + 1)2 (Enter DNE if limit Does Not Exist.) Does the sequence converge (Enter "yes" or "no").
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| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
Exercises 4.2 ove that the sequence (1 + z/n)"; n = 1, 2, 3,..., converges uni- ly in Iz <R < , for every R. What is the limit? 1, afdos se converge? diverge?
2 Determine whether the following the following sequences converge or diverge. If it converges, find the limit. (a) an = cos () 2n (b) a = In 2n + 1 3 (a) Does Î- (-)" converge or diverge? If it converges, find its sum. n=1 (b) Show how > 41-13-" can be written in the form of a geometric series. Does it converge or diverge? If it converges, find its sum. n=1
Write out the first five terms of the sequence with, \(\left[\frac{\ln(n)}{n+1}\right]_{n=1}\), determine whether the sequence converges, and if so find its limit.
Enter the following information for \(a_{n}=\frac{\ln (n)}{n+1}\).
\(a_{1}=\)
\(a_{2}=\)
\(a_{3}=\)
\(a_{4}=\)
\(a_{5}=\)
\(\lim_{n \rightarrow \infty} \frac{\ln (n)}{n+1}=\)
(Enter DNE if limit Does Not Exist.)
Does the sequence converge (Enter "yes" or "no").
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
1 point) Suppose that onE" converges whenz-4 and diverges when - 8. Determine whether the following series converge or diverge. Answer "Converges"or "Diverges. Note: You only have two attempts at this problem. converges ' 1, Cn Diverges 2 9 Converges 3. c(-10)" I-0 n-0 Diverges 3. (-1)"с, 12"
1 point) Suppose that onE" converges whenz-4 and diverges when - 8. Determine whether the following series converge or diverge. Answer "Converges"or "Diverges. Note: You only have two attempts at this problem....
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n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
3. Determine if the following series converge or diverge. If the series converges determine its sum. Answers without justification will receive no credit. (a) § (-1)k7k 11k k= 0