An easy limit

\lim_{x\to 0}\left(x\sum_{i=1}^k\left[\dfrac{i}{x}\right]\right) = ??
Here [x] denotes the greatest integer function and k is a natural number.

12 Answers

1
ANKIT MAHATO ·

posting solution ..

1
ANKIT MAHATO ·

please check it

13
deepanshu001 agarwal ·

i m getting the same thing

1
ANKIT MAHATO ·

is it correct ?

1
Kalyan Pilla ·

So is the above answer correct??
Even I got the same answer

66
kaymant ·

yes thats correct [1]

1
skygirl ·

one addtional question related to this one....

wat abt the limit if x-> infinity.

13
deepanshu001 agarwal ·

i think then the linit doesnt exist..

11
Anirudh Narayanan ·

This problem's toughness is of jee level or >jee level???

11
Anirudh Narayanan ·

hmmm, looks like my question was tougher than prophet sir's question!!!

66
kaymant ·

the difficulty level \le jee level [1]

11
Anirudh Narayanan ·

[11][5]

that was not among the options which i gave, sir.....

but, is this question really < jee level??

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