7n +(-1)" For the given sequence {anina, where an =- find 5n the least upper bound...
005 10.0 points Determine whether the sequence {an} con- verges or diverges when en = (-1)" (5n+) (5n+7) (5n+4) and if it does, find its limit. 1. sequence diverges 2. limit = 0 3. limit = +1 4. limit 5. limit = 1 006 10.0 points Which of the following sequences converge? A. _2n | 3n +4J 4en +6) 5n+6 C. {_3en1 C. (4+2en) 1. A and C only 2. B only 3. none of them 4. A, B, and...
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 if the sequence {a) converges or diverges. Find the limit if the sequence converges. (-1)"+1 5n-6 Select the correct choice below and fill in any answer boxes within your choice. O A. The sequence (a.) converges. The limit is lim a, - (Simplify your answer.) n00 OB. The sequence (a) diverges. Click to select and enter your answer(s). javascript:doExercise (12); MacBc esc FI 20. DOD 000 F2
Does the sequence converge or diverge? Give a reason for your answer. a = (81 – 1)" + 6) (**) Select the correct answer below and fill in any answer boxes within your choice. A. {an) converges because it is nondecreasing and has a least upper bound of (Simplify your answer. Type an exact answer, using radicals as needed.) OB. {an} diverges because it is nonincreasing and it has no lower bound. O C. {an} diverges because it is nondecreasing...
QUESTION 7 Consider the poset (A, R) represented by the following Hasse diagram (2 (a) Give each of the following If any do not exıst, explan why (i) The greatest element of (A, R) (i:) The least element of (A, R) (i) All upper bounds of {h, eh (iv) The least upper bound (LUB) or(h (v) All lower bounds of (b,c) (vi) The greatest lower bound (GLB) or(b, c} (b) Give complete reasons for the answers to the following (i)...
0. l-18 SCALCET8 11.1.507.XP.MI. Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) 2n+2 5n lim an
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) 1 1 1 1 1 2' 5' 3' 6' 4' 7' {*}**, 3,..} liman
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 =
4. For the following sets determine the least upper bound (it is
not necessary
to prove that it is the least upper bound):
a.) M = [0; 1] [ (3; 4)
b.) M =
n5n + 1
4n ? 3
n 2 N
o
c.) M =
n n + 1
2n + 13
n 2 N
o
d.) M =
nXn
i=1
9
10i
n 2 N
o
e.) M =
n
xjx > 0 and x2 < 5g:...
Given that the sequence defined by - 1 2+1 = 5-1 an is increasing and an < 5 for all n. Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)