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![[Post New]](/templates/default/images/icon_minipost_new.gif) 20 Nov 2007 21:01:23 IST
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Find [n ] [infinity ] ( 1/n^100)( [ 1] [ n] r^99) Anyone?
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1/n sigma (r/n)^99
since its represented as a function of r/n inside sigma and there's 1/n outside...we can use limit as sum formula....
integrate x^99
upper limit = lim n->inf (1/n) =0 lower limit = lim n->inf (n/n) =1
so answer should be 1/100.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 20 Nov 2007 21:47:10 IST
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gee thanks! i never thought of doing it by that method!
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 20 Nov 2007 21:48:48 IST
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my pleasure buddy!
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 20 Nov 2007 21:52:08 IST
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And hey by the way, can this be done by the progressions method. like we have sigma n^2 and sigma n^3, do we have a general formula for say sigma n^r ?
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 20 Nov 2007 21:54:59 IST
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may be there is....but i don't know....
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 20 Nov 2007 21:57:16 IST
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ok then never mind.....i dont think there may be one coz even at sigma n^3 things start to get complicated so perhaps there may not be any generalization...anyways thanks again!
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