Please help with a limit question

Limits, differentiation, related rates, integration, trig integrals, etc.
rowdy3
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Please help with a limit question

Postby rowdy3 » Mon May 10, 2010 11:43 pm

Please determine the following limit if they exist. If the limit doe not exist put DNE.

lim 2x^3 / x^2 + 10x - 12

x->infinity.

Thanks.

Stranger_1973
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Re: Please help with a limit question

Postby Stranger_1973 » Tue May 11, 2010 12:08 am

You can use asymptotes from algebra: http://www.purplemath.com/modules/asymtote.htm

Since the degree of the numerator is more than the degree of the denominator, it has to 'go to infinity', so 'the limit does not exist'.

Hope that he,lps.

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Martingale
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Re: Please help with a limit question

Postby Martingale » Sat May 15, 2010 4:30 am

rowdy3 wrote:Please determine the following limit if they exist. If the limit doe not exist put DNE.

lim 2x^3 / x^2 + 10x - 12

x->infinity.

Thanks.




here the bottom goes to 1 and the top goes to infinity. So the limit is infinity (or DNE if that's what your instructor wants)


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