How would I prove that if x is in R and the set (S) x = (n^2 - 1) / n for some natural number n, ,then S has no upper bound.
I think that maybe I could:
Find a lower bound and show that there are always numbers greater than that?
The limit for this goes to infinity as x gets large, so I know it doesn't have an upper bound, but where do I go from here?
your function of x does not depend on x, i think you mean n not x. or you typed something incorrectly. but yes, just prove the limit goes to infinity as n gets large. that will show it is not bounded above, since it will eventually surpass any upper bound we set for it
__________________
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. " border="0" />
Join the dark side. We have cookies.
Threads I link people to too often to have to be looking them up every time:
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.
The following users thank Jhevon for this useful post:
Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics. Register to post your math questions or just hang out and try some of our math games or visit the arcade.
[SOLVED] Upper Bound - How do I prove? 
Linear Mode
