- #1
transgalactic
- 1,395
- 0
regarding this definition
[itex]
a = \lim \bigg( \inf \{ a_k | k\geq n\} \bigg)
[/itex]
the sequence
[itex]
\inf \{ a_k | k\geq n \}
[/itex]
is non decreasing . its inf gets bigger or not changing in each following sequence
so its limit is its least upper bound
am i correct??
[itex]
a = \lim \bigg( \inf \{ a_k | k\geq n\} \bigg)
[/itex]
the sequence
[itex]
\inf \{ a_k | k\geq n \}
[/itex]
is non decreasing . its inf gets bigger or not changing in each following sequence
so its limit is its least upper bound
am i correct??