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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 May 2007 22:51:07 IST
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lim x-> infinity x^x
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18 May 2007 22:59:27 IST
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the answer is infinity...coz...anything to the power infinity is infinity................................plz rate me if im correct.........
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18 May 2007 23:10:42 IST
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The base is obviously greater than unity. Any base greater than 1 raised to a large power tend to infinity
So the answer is infinity
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18 May 2007 23:42:20 IST
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actually 1 raised to infinity is also considered to b infinity... or rather an indetermnant..
i thnk ter is smethin wrong wit d q..
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19 May 2007 18:25:33 IST
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I agree with elessar_iitkgp , the limit always tends to infinity in your case.
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xx =exlnx =elnx/(1/x) By L.Hospitals =e-x =1/ex =1/(finite number)infinity =1/inf =0
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24 Jun 2007 18:40:20 IST
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these all are indeterminate form.....
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you work hard for a desired result |
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24 Jun 2007 18:42:22 IST
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whats wrong with my solution?
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25 Jun 2007 17:58:36 IST
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joyfrancis,...
u can't use LH rule here coz logx/(1/x) is NOT INDETERMINATE form...for x approaching infinity...
the very common mistake ...
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25 Jun 2007 17:59:39 IST
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logx/(1/x) approaches(infinity/0) i.e. it approaches infinity...
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25 Jun 2007 18:04:17 IST
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what r important topics in chemistry,physics n mathson which we must focus for iit preparations?
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