limits

ltn→∞ {x} +{2x} +{3x} +.....+{nx}/ n2 {where x denotes the fractional part of x}

4 Answers

62
Lokesh Verma ·

the period of this function is 1

(Hint!)

62
Lokesh Verma ·

btw i think u are asking n tending to infinity..

even otherwise we can try to deal both these cases :)

Both are interesting in their own right :)

1
pinky ·

yaeh itz n tending to infinity..i've changed it....

62
Lokesh Verma ·

this is nto very difficutl..

use somethign called the sandwich theorem ...

extra: is the numerator bound by some value:

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