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can a function b discontinous but differentiable???????

Posted By : Ajay gaur
Posted on : 12:30:02 AM on October 23, 2010

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Ajay gaur
Ajay gaur
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Posted on : 12:30:02 AM on October 23, 2010
can a function b discontinous but differentiable???????

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Akash Khaire
Akash
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Posted on : 10:08:55 PM on October 25, 2010

yes, u can take eg of greatest integer function, they are discontinous at integral points, bt they are differenciable between [n-1, n)

bt note that they are not differentialble at x=a where 'a' is exact point of non discontinuity.... since it is followed that a function is differentiable if it is cont at that point, which states that limit should exist. thus



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Akash Khaire
Akash
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Posted on : 10:10:48 PM on October 25, 2010

D implies C; and C implies L to exist, but reverse is not true



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akhil mahajan
akhil
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Posted on : 05:10:02 PM on October 27, 2010

 no not at all!!



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