Question

Show that If the limit as n approaches infinity of a(2n) =L and limit as n approaches infinity of a(2n+1)=L a(n) is convergent and the limit =L

The parentheses notate subscript

Answer 1

\[\lim_{n \rightarrow \infty} a_{2n}=L\]
\[\lim_{n \rightarrow \infty} a_{2n+1}=L\]

Answer 2

Yes, that would be correct format for my question, perhaps if you could explain this definition it may help me solve the question myself.