# Analysis Help required

• November 9th 2012, 08:25 AM
Analysis Help required
i need help with Analysis please!

how do you prove that a sequence (xn) diverges to infinity if and only if (-xn) diverges to -infinity??

it seems like quite a simple question but i cant think of a rigorous enough proof. THANKS!
• November 9th 2012, 08:36 AM
Plato
Re: Analysis Help required
Quote:

If $\exist N\in\mathbb{Z}^+$ such that $n\ge N$ implies $x_n>N$ what can be said of $-x_n~?$