PART TEST 1 DOUBT

Q21) lim { [x]+[2x]+[3x]...............[Nx] } / N²
Nâ†’âˆž

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

3 Answers

OH 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

i assumed gr8est integer.admins can clear dat..

u can use the hint

x-1â‰¤[x]â‰¤x

1357

Manish Shankar ·2009-02-01 22:13:32

1/2

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

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