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Differential Calculus

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 Joined: 29 Jul 2012 Post: 7
29 Jul 2012 21:33:18 IST
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7
329
find the limit
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Differential Calculus

limit(x tends to 0) x^x=........

New kid on the Block

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29 Jul 2012 21:49:37 IST
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da

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Joined: 16 Aug 2011
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1 Aug 2012 23:55:39 IST
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is the ans. 1??

Cool goIITian

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2 Aug 2012 00:03:59 IST
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yes its 1

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2 Aug 2012 12:02:08 IST
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the answer is never 1.

if you say it's 1,then prove it

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2 Aug 2012 12:12:50 IST
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answer is 1.Do u need proof?

Cool goIITian

Joined: 16 Aug 2011
Posts: 90
8 Aug 2012 06:09:22 IST
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what is the ans. given???

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8 Aug 2012 10:11:55 IST
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y=x^x, logy=x.logx, y=e^(x.logx), y=e^{x.log(1-(1-x)} = e^[x.{-(1-x)-(1/2)(1-x)62-.......}] now put limit answer = 1

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