3i assumed gr8est integer.admins can clear dat..
u can use the hint
x-1≤[x]≤x
Q21) lim { [x]+[2x]+[3x]...............[Nx] } / N2
N→∞
a) 1/2
b) does not exist
c) 1
d) None of these
Can sum1 first of all plz tell me if [] in da que denotes gr8est int functn or not???
Then i shall re-try, coz i earlier thot i wud apply summation formula (i m gettin ans =1/2 by that method)
ans given = d
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3 Answers
21OH YEAH!!!!!!!!
I HAD FORGOTTEN THE X.....
I WONDERED Y WAS DA ANS D WEN 1/2 WAS ONE OF DA OPTNS..
K K. . . THNX SIR
3
13571/2
use sandwich thoerem as sankara just said
x.n(n-1)/2n2 < sum < x.n(n+1)/2n2
both these goto x/2 as n goes to infinity.....
hence sum is x/2
Hence the answer is D