Error computing limits as x -> inf

[Chris Pem10]

(10-11-2014 02:35 AM)dbbotkin Wrote:  Other than to make a point, what is the rationale for the magnitude of the exponents? I mean, if it converges to 9/7 at E26, why expect things to change much "near the end"?

The problem was taken from an online Calc quiz at (The) Ohio State. I double checked my answer with a 50G and found the error.

As for their "rationale" for toying around with exponets approaching 70: perhaps some guys just like watching the world burn.

I'll leave with a few quotes:

"We didn't know if we could find the limit of a polynomial fraction with an exponent approaching 70... but it was our duty to try... That's the way I looked at it. Now you've got guys in space vehicles, smoking along at exponents greater than 70... speed is relative..." (Chuck Yeager)

"If you're not failing every now and then, it's a sign you're not doing anything very innovative" (Woody Allen)