The problem asks for us to: Construct a sequence {$\displaystyle s_n$} for which the subsequential limits are {-$\displaystyle \infty$, -2, 1}.

I found some help already:

...the sequence {-n} has the subsequential limit of {-$\displaystyle \infty$},

...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!