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View Full Version : Math Question...Not what you are expecting. L'hopitals rule.


Doc7
02-07-2006, 05:37 PM
Heya...

You're going to think I'm a terrible engineer, but I'm drawing a blank on a portion of this homework assignment for finding the limit of a fraction approaching infinity on both the top and the bottom, and googling l'hopitals rule has been as yet fruitless (I know for a fact this is the rule that applies in this case)

(s+1) /
(s+2)(s+3)

lim s->infinity


Derivative with respect to s on both the top and bottom, right? Then take the limit as s approaches infinity again, so it's 0, right?

bobman0330
02-07-2006, 05:43 PM
you don't need L'hopital's rule. The numerator is 1st order, the denominator is second order. lim = 0.

EDIT: I think you're a [censored] engineer. /images/graemlins/smile.gif

Doc7
02-07-2006, 05:46 PM
psht, i kinda of figured that but i also was a little worried about assuming i was right about infinity < infinity-squared.

bobman0330
02-07-2006, 06:18 PM
You can avoid most of the infinities
Multiply both the numerator and the denominator by 1/s. Numerator becomes 1 + 1/s. Denominator becomes as + b + c/s. Limit of the numerator is 1 + 0. Limit of denominator is infinity + b + 0. limit = 0.