Question

define the following with suitable examples
1) bounded above sequence
2) bounded below sequence
3) bounded sequence
4)monotonic increasing sequence
5) monotonic decreasing sequence
6) non-decreasing sequence
7) non-increasing sequence
8) strictly decreasing sequence
9) strictly increasing sequence
10) weakly decreasing sequence
11) weakly increasing sequence
12)least upper bound sequence
13) greatest lower bound sequence
14)suprimum sequence
15)infimum sequence

Answer 1

google ....xD

Answer 2

This is why we have a text book with an index, or why god invented google. No one is going to define all of these 15 terms for you here not because we can't, but because it's tedious.

But I'll give you one just to prove I'm not a completely sarcastic bastard.

A sequence (a_n) is is bounded above if there is a number X such
a_n < X for all n.

Answer 3

For example. a_n = 1 - 1/n. Happy hunting for the rest.

Answer 4

Although for the record this sequence is also an example of 2, 3, 4, 6 and 9.

Answer 5

and probably 12

Answer 6

can't any one here who send me any attached file or any relevant website from whom i may consult??????