oh... so I'm using a squeeze theorem in which the value rn is squeezed in between 0 and 1 thus would tend to 0. Thank you very much slider you don't how confusing this had made me.
Sorry for not knowing LATEX.
Given problem:
Find the limit of the sequence or show that it diverges.
The Limit as n approaches infinity of the sequence (e^n + 3^n)/(5^n).
As I was doing the algebra, I broke the equation into two separate parts and applied the law of exponents and...
Sorry to steal your thread but I didn't feel this was worthy of its own. Why does a fraction raised to an infinite power equal zero. Example: (1/3)^(infinity) = 0