Calculus - Limits.....

1

Philip Calvert ·Dec 22 '09 at 20:53

what is x in the second one..?

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Nikhil Kaushik ·Dec 22 '09 at 21:40

sorry i made sum mistakes....i edited them!

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Philip Calvert ·Dec 22 '09 at 21:50

second is $\int 0 1 x k d x$

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21

eragon24 _Retired ·Dec 22 '09 at 21:59

1st is $(n!) 1 / n $

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1

Philip Calvert ·Dec 22 '09 at 21:59

the first one...

e^L... where L = $\lim_{x\rightarrow0}{{\left( \frac{1^{x}+2^{x}+3^{x}+.....+n^{x}-n}{nx}\right)}}}$
= ln(n!)n......

I think i made some mistake . pls tell me.

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Philip Calvert ·Dec 22 '09 at 21:59

oh eragon already posted. !

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Nikhil Kaushik ·Dec 23 '09 at 0:42

3)Find $lim n \to (i n f i n i t y) n (n! 1 / n ) $

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Nikhil Kaushik ·Dec 23 '09 at 0:46

@philip--
ur answer to 1st ques is correct!!
did u try IInd one?

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Che ·Dec 23 '09 at 3:07

for 3rd one ans is 1/e

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19

Debotosh.. ·Dec 23 '09 at 4:42

ans 2> dividing num and den by n^k...we get the answer as zero !

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Nikhil Kaushik ·Dec 23 '09 at 5:43

ya answer to IIIrd one is 1/e.

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Nikhil Kaushik ·Dec 23 '09 at 6:22

@debo-

No, u cant say that.....coz nâ†’âˆž here.
& u don't know the value of k.
So, u cant say anything like that........!!

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