Error computing limits as x -> inf

[Chris Pem10]

I'm completely guessing here... and I've stolen the following text below from this site:

http://www.millersville.edu/~bikenaga/ca...mprop.html

"The limit of a sum is the sum of the limits."
"The limit of a product is the product of the limits."
"The limit of a power is the power of the limit."
"The limit of a quotient is the quotient of the limits" --- provided that the denominator does not become 0 when you plug in.

So I imagine the HP 50 manages to decompose the poly fraction step by step until each individual term becomes a trivial limit, then reconstitutes them back into a solution.

Perhaps the Prime does the same and just makes an error.

Here's a high degree polynomial fraction that the Prime gets right. It is a simple poly fraction to tear down with limit rules too:

lim x-> inf of (7 x^499 + 1)/(-10 x^401) = -inf

The HP 50 got it right in 18 seconds and the Prime got it right before the enter button even had time to spring back up... fast !