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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Progressions question.......
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loyalgooner (177)

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Find [n ][infinity ]  (  1/n^100)(  [ 1][ n] r^99)
 
 
Anyone?

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neeraj_agarwal_1990 (887)

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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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loyalgooner (177)

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gee thanks! i never thought of doing it by that method!

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neeraj_agarwal_1990 (887)

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my pleasure buddy!
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loyalgooner (177)

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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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neeraj_agarwal_1990 (887)

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may be there is....but i don't know....
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loyalgooner (177)

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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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