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Geetika Chouhan Grade:
        



Let [x] denotes greatest integer Then
equal to




Possible Answers























Selected Possible Answer



x/2







x/3







0







x/4





6 years ago

Answers : (2)

satish prakash garg
16 Points
										

x/3 is ans


[x]=x-{x}


and 


sum of sq. of n no. are  n*(n+1)*(2n+1)/6

6 years ago
Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

Dear Geetika Chouhan,


Ans:-Now the given function is a box function. So [x]=x-{x}


where {x}=fractional part of x whose value lie between 0 and 1


So writing all the box functions like this we get


the series (1²x+2²x+...........n²x) -K where K is a constant whose max value is n


Hence the sum is =  xn(n+1)(2n+1)/6   -n


dividing it by n^3 we get


Sum=x(1+1/n)(2+1/n)/6        -1/n²


Taking n→∞ We get


Sum=x/3(ans)


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Regards,


Askiitians Experts


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6 years ago
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