## eva12 one year ago 1. why is the sequence bounded at 3? 2+((-1)^n/n) help please

1. xapproachesinfinity

look for the limit

2. eva12

$2+\frac{ -1^n }{ n }\le3$

3. xapproachesinfinity

yes you would need to prove that! formally you need to show that for any n $$A_n\le 3$$

4. xapproachesinfinity

with the limit as n goes to oo of A_n=3 this shows that all values of A_n do not exceed 3

5. eva12

the limit is 2 when n goes to infinity , okay I understand it now thank you =)

6. xapproachesinfinity

oh yeah right, i thought it was 3

7. xapproachesinfinity

ok so what have you thought about so far?

8. xapproachesinfinity

how do we prove that inequality

9. eva12

I think we prove a set and the set must be bounded

10. xapproachesinfinity

what set?