Determine if the following limits exist

Limits, differentiation, related rates, integration, trig integrals, etc.
rowdy3
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Joined: Tue May 04, 2010 11:51 pm
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Determine if the following limits exist

Postby rowdy3 » Mon May 10, 2010 12:03 am

Please determine the following limits if they exist. If the limit does not exist put DNE.
lim 2+6x-3x^2 / (2x+1)^2
x-> - infinity

lim 4n-3 / 3n^2+2
n-> infinity

I did
lim 2+6x-3x^2 / (2x+1)^2
x-> - infinity
(2+6x-3x²)/(4x²+4x+1)
(2/x² + 6/x -3)/(4 + 4/x + 1/x²)
as x-> - infinity. My answer is -3/4

lim 4n-3 / 3n^2+2
n-> infinity
Answer is 0.

nona.m.nona
Posts: 271
Joined: Sun Dec 14, 2008 11:07 pm
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Re: Determine if the following limits exist

Postby nona.m.nona » Mon May 10, 2010 12:42 am

Your methodology looks fine, and your answers are correct. Thank you for showing your work so nicely.


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