(1 point) Consider the sequence ax ncos(n) 2n-1 Write the first five terms of a,, and...
(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").
(1 point) Write out the first five terms of the sequence a n = (-1)^ n-1 (n+4)^ 2 Enter the following information for a, a 1 = a 2 = a 3 = a 4 = a 5 = lim n infty (-1)^ n-1 (n+4)^ 2 = Box (Enter DNE if limit Does Not Exist.) Does the sequence converge Bigg[ (-1)^ n-1 (n+4)^ 2 Bigg] n=1 ^ infty determine whether the sequence converges, and if so find its limit. (Enter...
(1 point) Write out the first five terms of the sequence with, [(1-4"100 sequence converges, and if so find its limit. determine whether the Enter the following information for an-(1 -m3)" a = | 625/656I a5 7776/100000 4 lime (1-nts) noo (1 point) Write out the first five terms of the sequence with, [(1-4"100 sequence converges, and if so find its limit. determine whether the Enter the following information for an-(1 -m3)" a = | 625/656I a5 7776/100000 4 lime...
(1 point) Find the limit of the sequence whose terms are given by an = (nº)(1 – cos(+2)). (1 point) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINE. If it diverges without being infinity or negative infinity, state your answer as DIV. 10(!) lim 1- (-8)"
2- 4. Given the Sequence below(-3)***** a) Write the first five terms of the sequence. b) Provide a sketch for the first five terms of the sequence. Does the sequence approach a number? c) Does the sequence Converge or Diverge as no? Explain your answer. d) Find lim,--..(am + b), where a, the general term you found in a) and m2+1 Does the limit converge?
Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13 n8n (i) Determine whether ah diverges. If the sequence converges, find its converges or limit. o0 (ii) Determine whether r diverges. Justify your ansv swer an Converges o n-1 (b) Consider the series (2n)! 2 (n!) and determine whether it converges or diverges. Justify your answer IM8 8 Question 2 (12 marks) (a) Consider the sequence with terms 2n35"5 log n n 1,2,3,.. 13...
1. Write out the first five terms of each sequence and determine if the sequence is convergent or divergent JUSTIFY YOUR ANSWERS We were unable to transcribe this image 1. Write out the first five terms of each sequence and determine if the sequence is convergent or divergent JUSTIFY YOUR ANSWERS
Question 2 (12 marks) (a) Consider the sequence with terms 2n3 5"5 log n , n = 1,2,3,.... an 13 n8n (i) Determine whether {an} converges or diverges. If the sequence converges, find its lmit (ii) Determine whether diverges. Justify your answer an COnverges or n-1 (b) Consider the series (2n)! 2" (n!)? n=1 and determine whether it converges or diverges. Justify your answer Question 2 (12 marks) (a) Consider the sequence with terms 2n3 5"5 log n , n...
(1 point) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit If it diverges to infinity, state your answer as inf. If it diverges to negative infinity, state your answer as-inf. If it diverges without being infinity or negative infinity, state your answer as div) limIn(n+1) - In) Answer: (1 point) Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. Of it diverges to infinity, state your answer...
(1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F Diverges by limit comparison test G. Diverges by alternating series test 1. 2. n ln(n) cos(nT) In(4) 02n 3 (n182 +1)" 2n (1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't...