(-1)" (10 points each) Consider the series 회 (a) Is the series convergent? Support your answer...
Consider the series en Is the series absolutely convergent? Write Yes or No in the answer box Is the series convergent? Write Yes or No in the answer box Is the series conditionally convergent? Write Yes or No in the answer box
Q2 (Show your work!) 16 Points Determine whether each of the given series is absolutely convergent, conditionally convergent or divergent. Q2.1 8 Points I am, where an = (+3)x=1 n=1 Please select file(s) Select file(s) Save Answer Q2.2 8 Points Q 3n2 - n +1 5n5 +n + 2 n=1 Please select file(s) Select file(s) Save Answer
[18 Points) (a) What can you say about the series an in each of the following cases? (absolutely convergent, conditionally convergent, divergent, or not enough information). No work is necessary. (ii) lim 192H1|=e-1 (iii) lim #| = 1. (b) Is the series given below absolutely convergent, conditionally conver- gent, or divergent? Show all of your work. (-1)" 5n+1
5. B and C is convergent, expressing your answer in in- terval notation. 1. (-0,0) 006 10.0 points Determine all values of p for which the series 2. p = {0} MP In m 3. 0.00) converges. 1. p > 2 4. (-0,00) 5. (0,0) AV V 009 10.0 points Determine whether the series 5. p < -2 § (-1)-1sin (1) 6. p > 1 is absolutely convergent, conditionally con- vergent or divergent 007 10.0 points Find the smallest number...
3. (15 points) Determine w hether the series is absolutely convergent, conditionally convergent, or divergent. Please state the tests which you use. m In(n!) 2 n+1) n -2 ,(-1)-(#-sin%) (b) 3. (15 points) Determine w hether the series is absolutely convergent, conditionally convergent, or divergent. Please state the tests which you use. m In(n!) 2 n+1) n -2 ,(-1)-(#-sin%) (b)
1 (5 points) Determine whether he series is absolutely convergent, conditionally convergent, or divergent (-1)"
please show work? 8.4.028. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)" 4 absolutely convergent conditionally convergent divergent Show My Work Region
Q2 (6 points) Determine whether the following series is absolutely convergent, conditionally convergent, or divergent. (-1)" 2 2n2+1 • State the name of the correct test(s) that you used to reach the correct conclusion. • Show all work. • State your conclusion. + Drag and drop your files or click to browse...
etermine whether the following series 1. absolutely convergent /--2. divergent O3. conditionally convergent Submit answer Tn is absolutely convergent, conditionally con- vergent, or divergent. etermine whether the following series 1. absolutely convergent /--2. divergent O3. conditionally convergent Submit answer Tn is absolutely convergent, conditionally con- vergent, or divergent.
1. Consider the series n=2 Is it divergent, conditionally convergent or absolutely convergent? Explain. 2. Suppose you know that 2n+1 sin(x) = Ž (-1)" 2** * Explain how to use this to show that cos(x) = ŽC-1) HINT: What is sin(x)?