# Math Help - Real Analysis - Sequences 2

1. ## Real Analysis - Sequences 2

Here is the problem:

How do I go about proving this? Thank you!!

2. Originally Posted by Phyxius117
Here is the problem:

How do I go about proving this? Thank you!!
It if converges, then every subsequence converges to the same value, and so $\lim\text{ }z_n=\lim\text{ }z_{2n-1}=\lim\text{ }x_n=\lim\text{ }z_{2n}=\lim\text{ }y_n$