Question

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:

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] U (3,4) 5n +1 пЄ 4n – 3 b.) M c.) M s_n +1 n en} 2n + 13 n d.) M - {2 10nen} {r}x > 0) and a? <5}. e.) M =

Answer 1

Date Page Ang Ja M 1 U(3, 4) LUB 4 L 4 then cannot be upper bound for A. because then either So x is not upper bound because O EM or ose 31 and. 3 < x < 41 in which case x 24 so x is not an upper bound. x EM and 1 M = { inti 4n-3 Inele} - at Alur 1 S LUB 6 IC M = S nt) h GN: 2n +13 ~ į T2 2 So. LUB 놀 (d) M= WD Tot TheNg +. + 9 0 1 n ElN 10 lon 0 g 10-1 1 HEN 3 9 n 10 - 10 - 10 g 999 1 1 9.9 100 1ooo LUB = 10

M = { xlx>0 and x².55. xzo and 22-5 20 (x+rs) (a LUB a-as) co