- #1
Castilla
- 241
- 0
Hello.
I know this:
If (a_n) is a bounded below decreasing sequence, then
lim (a_n) = inf { a_n / n = 1,... }
n->oo
How to translate this to real functions ?
I mean, I have read that:
lim (sup { f(x) / 0< |x-a|< e}) =
e->0
inf { sup {f(x) / 0< |x-a|< e} / e > 0}
and i suppose it has something to do with the previous but I fail to see how.
Can you help me?
I know this:
If (a_n) is a bounded below decreasing sequence, then
lim (a_n) = inf { a_n / n = 1,... }
n->oo
How to translate this to real functions ?
I mean, I have read that:
lim (sup { f(x) / 0< |x-a|< e}) =
e->0
inf { sup {f(x) / 0< |x-a|< e} / e > 0}
and i suppose it has something to do with the previous but I fail to see how.
Can you help me?