I know how to solve the more basic limits, but I'm stuck here. How would I got about solving this one?

Lim (2x^2+Cosx)/(3x^2+x-1+e^-2)

x-->2

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- October 3rd 2011, 07:39 PMDustin10Limits question
I know how to solve the more basic limits, but I'm stuck here. How would I got about solving this one?

Lim (2x^2+Cosx)/(3x^2+x-1+e^-2)

x-->2 - October 3rd 2011, 07:45 PMpickslidesRe: Limits question
Where are you stuck? What have you tried?

What does a direct substitution produce? - October 3rd 2011, 07:51 PMDustin10Re: Limits question
I tried directly putting in 2 but the answer it produced was wrong. So basically I'm just stuck on what to try next cause my professor is crap at explaining himself.

- October 3rd 2011, 07:55 PMProve ItRe: Limits question
- October 3rd 2011, 08:10 PMDustin10Re: Limits question
I'm sure I'm making some mistakes, but following a professor who confuses himself and has to re-do solutions cause he makes mistakes on a regular basis makes it tough to pick up on the trickier application of stuff :P but here's what I tried. I'm pretty sure the e is what's making me do this incorrectly.

(2(2)^2+Cos(2))/(3(2)^2+2-1+e^(-2))

(8+1.00)/(12+2-1+0.14)= 9.00/13.14 which was incorrect.

I then tried to move the e^(-x) to the numerator to make the power positive but just like I figured that was wrong too. Just not exactly sure where my mistakes are :/ - October 3rd 2011, 08:12 PMProve ItRe: Limits question
- October 3rd 2011, 08:19 PMDustin10Re: Limits question
- October 3rd 2011, 09:54 PMmr fantasticRe: Limits question