QUESTION 1 n a) Determine whether the sequence converges or diverges. n1 (3 marks)
Page 13 of 15 Previous 13) 00 Determine whether the series m converges or diverges. n1 a) Diverges b) converges Both converges and diverges d) No test is applicable 1) Determine whether the sequence converges or diverges. In case of convergence find its limit. n + 2 Converges, lim = 8 b) Converges, lim = 7 Converges, lim - 4 d) Diverges
Determine whether the series converges or diverges. C n44 n3n2 n1 converges diverges Need Help? Read It
Determine whether the series converges or diverges. C n44 n3n2 n1 converges diverges Need Help? Read It
Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. = ne-7 lim Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE.
n²5 Determine whether the sequence defined by a, 56m2 + 1 converges or diverges. If it converges, find its limit. O1 OS 6 Diverges
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) a, = 5 + 8n2 " n + 8n2 lim n >00 an = Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = e-9/vñ lim n >00 an =
Determine whether the sequence an = ln(2n + 1) - In(n +2) converges or diverges, and if it converges, find the limit. Find the length of the curve defined by x = 2t3, y = 3t2, osts 1.
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...
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = n^4/n^3 − 4n lim n→∞ an =_____
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) 5n =tan 3 + 20n a. n
Determine whether the series converges or diverges. n = 1 converges diverges