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Differential Calculus

Cool goIITian

Joined: 7 Feb 2012
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7 Feb 2012 23:51:30 IST
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lim x tends to infinity (sinx)^x = ?
Mathematics

 what will be the limit of sinx raised to power x when x tends to infinity


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Vishal U. Karve's Avatar

Hot goIITian

Joined: 18 Jan 2012
Posts: 147
8 Feb 2012 11:25:57 IST
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sin(x) will always fluctuate between -1,1.

It will always be a fraction.

Even if it approaches 1, it will approach it from only one side. i.e. it will always be<=1 not >=1.

So the limit will be a fraction raised to infinity = 0.

 

 

 



Cool goIITian

Joined: 7 Feb 2012
Posts: 44
11 Feb 2012 08:04:46 IST
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thanks

Cool goIITian

Joined: 7 Feb 2012
Posts: 44
17 Feb 2012 23:25:43 IST
0 people liked this

i have doubt on this solution!!!



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