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#1 2008-04-22 22:32:40
- EMPhillips1989
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- Registered: 2008-01-21
- Posts: 40
limits
can anyone find the limit of this function? I attempted it and got the limit as zero but looking at the graph of this function i assume this is wrong please help!!
Last edited by EMPhillips1989 (2008-04-23 00:10:26)
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#2 2008-04-22 22:41:47
- LuisRodg
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- Registered: 2007-10-23
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Re: limits
You multiply this limit by 1:
Last edited by LuisRodg (2008-04-22 22:45:20)
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#3 2008-04-22 22:47:56
- Identity
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- Registered: 2007-04-18
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Re: limits
Thinking about it conceptually, the numerator has
, and as x becomes big, this terms will eventually dwarf all the other terms by an enormous extent. So you can basically wipe out everything but keep, because it is the only thing that matters for large x.Offline
#4 2008-04-22 22:51:45
- LuisRodg
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Re: limits
Also theres a rule that says that for limits that go to infinity in a polynomial you can ignore all the terms but the highest degree.
Last edited by LuisRodg (2008-04-22 22:52:59)
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#5 2008-04-23 00:19:54
- TheDude
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- Registered: 2007-10-23
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Re: limits
Judging by the above responses you originally accidentally typed the denominator as 3x^2 - 2, when it should be 3x^3 - 2. Assuming that you now have the correct expression, follow LuisDog's advice again, but this time with x^3:
The limits of each of the terms with an x in the denominator is 0 as x approaches infinity, so they can be safely removed from consideration. We're left with
which has no x, so the limit is just the expression itself, -1/3.
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#6 2008-04-23 00:21:24
- EMPhillips1989
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- Registered: 2008-01-21
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Re: limits
sorry i made a typing error the function should have been
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#7 2008-04-23 01:41:51
- simron
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- Registered: 2006-10-07
- Posts: 237
Re: limits
So...
Arrg. If there's one thing that I need serious help on, it's LaTeX.
Last edited by simron (2008-04-23 01:43:26)
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#8 2008-04-23 02:17:05
- TheDude
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Re: limits
Fixed. Use \lim for limits, not \limit, and use \rightarrow instead of \arrow to make the arrow.
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#9 2008-04-23 12:40:54
- simron
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Re: limits
Thanks, TheDude.
Last edited by simron (2008-05-09 13:16:54)
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