Problem 1. (1 point) n° + sin(8n + 5) Determine whether the sequence an = -...
(1 point) Determine whether the sequence an Converges (y/n): Limit (if it exists, blank otherwise): 17n + 2 10n + 5 converges or diverges. If it converges, find the limit.
(1 point) Determine whether the sequence an Converges (y/n): Limit (if it exists, blank otherwise): 17n + 2 10n + 5 converges or diverges. If it converges, find the limit.
(1 point) Determine whether the sequence (v17n + 14 - V17n} converges or diverges. If it converges, find the limit. Converges (y/n): Limit (if it exists, blank otherwise):
(1 point) Determine whether the sequence a Converges (w/n Limit if it exists, blank otherwise): 17 + 2 10n + 5 converges or diverges. If it converges, find the limit. (point) Find the first six terms of the recursively defined sequence 5.45-1 + 1 for n > 1. and = 1 first six terms (Enter your answer as a comma-separated list.)
The answer : converges to 1 is incorrect. (1 point) Determine whether the sequence nº sin (9) converges or diverges. If it converges, n5 find its limit. If it diverges, enter "infinity", or "-infinity" if applicable, or enter "divergent" if the sequence diverges (but not to foo). The limit is 1
(1 point) Consider the integral - 5x dx 1 + x2 If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral. (1 point) Determine whether the sequence {V17n + 14 - V17n} converges or diverges. If it converges, find the limit. Converges (y/n): Limit (if it exists, blank otherwise): (1 point) Find the limit of the sequence: 1n+ 9n + 8 an 2n2 + 3n + 8 =
= 7. Determine whether the sequence an find the limit. (2n)3 +sin(n) n+n2 +6 converges or diverges. If it converges,
n²5 Determine whether the sequence defined by a, 56m2 + 1 converges or diverges. If it converges, find its limit. O1 OS 6 Diverges
Problem 4. (12 points) Suppose that converges when -5 and diverges when : -7. Determine whether the foliowing series converge or dverge. Answer "Converges" or "Diverges." ? ? . 3. § (-1)", 12" Note: You only have two attempts at this problem Note: You can earn partial credit on this problem
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...