
Intro to Real Analysis.
The problem asks for us to: Construct a sequence { } for which the subsequential limits are { , 2, 1}.
I found some help already:
...the sequence {n} has the subsequential limit of { },
...the sequence is {2  1/n} has the subsequential limit of {2}, and
... the sequence {1  1/n} has the subsequential limit of {1}.
How do I combine the three sequences to make the one sequence I need for the problem.
Any help, suggestions, corrections, and tips of any kind are greatly appreciated.
Thank you for your time!(Nod)


Quote:
Originally Posted by
red_dog
Awesome, our professor did give a hint to go 'piecewise' with this problem.
My only question is, where'd the '3p' come from? I understand that 3p, 3p + 1, and 3p + 2 are three consecutive terms.