Question 1 (10 points) Choose one of the followings and determine: Convergent or divergent? 1 a)...
(-1)-1 n2 is absolutely convergent. 1. (2 points) Prove that cos n is convergent or divergent. 2. (2 points) Determine whether the series - (Use cos n<1 for all n) 3. (3 points) Test the series -1) 3 for absolute convergence. (Use the Ratio Test) 2n +3) 4. (3 points) Determine whether the series converges or diverges. 3n +2 n-1 (Use the Root Test) 5. (3 points) Find R and I of the series (z-3) 1 Find a power series...
Determine if each of the following series is convergent or divergent. If a series is convergent, find where it converges to. If divergent explain why. (a) 2n=1 n+(-1)" vñ 72 (b) no 2 (-1)",2n-4 (c) 00 2n=0 (2n-1)!
please answer both questions, and show all the works
4. Determine whether the geometric series is convergent or divergent. it 1 . Determine whether the ge find its sum. πη 3n+1 72 5. Determine whether the series is convergent or divergent. If it is convergent, find its sum. k2 k2-1 k 2
4. Determine whether the geometric series is convergent or divergent. it 1 . Determine whether the ge find its sum. πη 3n+1 72 5. Determine whether the series...
Determine if each of the following series is convergent or divergent. If a series is convergent, find where it converges to. If divergent explain why. (a) n=1 n+(-1)" (b) . =O (c) Lo (2n-1)! (-1)", 20-4
Question 6 (9 points) Determine whether the series Σ n=1 2n4+2n2+2" is convergent or divergent. Conditionally Convergent Divergent Non of the above O Convergent
Determine whether the series
is convergent or divergent. ∞ (1 + 3^n) / 8^n n = 1
3.33/6.66 points v Previous Answers V SCALCETS 11.2.511.XP. Determine whether the series is convergent or divergent. 1 + 3n 80 I=1 O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Submit Answer
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Please Answer every question and SHOW WORK!
Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...
Determine whether the series is convergent or divergent. B- O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Need Help? Read it [0/2 points) DETAILS PREVIOUS ANSWERS SCALCETS 11.2.039. Determine whether the series is convergent or divergent. arctan(n) O convergent O divergent if it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 1 X Read Need Help? Wixhit (-/2 Points] DETAILS SCALCETS 11.2.043. Determine whether the series is convergent...
10. [1/9 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.2.041. Determine whether the series is convergent or divergent. 00 8 + n(n + 1) n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 8.6558 X
(1 point) We will determine whether the series n3 + 2n an - is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series bn for comparison (this series must also have positive terms). The most reasonable choice is ba - (choose something of the form 1/mp...