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\[\large \lim_{n\to \infty} \sum_{r=1}^{n^2} \frac 1r \sin \left(\frac{2017 r^2}{n^2}\right) \]

If the value of the limit above is ...

Joseph decided to play a game with 999 different players.

Setup:- There are 999 buckets kept in a row. Apart from these, the are two boxes, box-1 containing 999 red ...

Notes:

The corner of a square must lie on a grid dot.

All dots are equally ...

In the three dimensional plane, two regions \(R_1 \ : \ x^2 + y^2 = z^2\) and \(R_2 \ : \ x^2 + y^2 = z\) are plotted ...

George and John walk along the lines of a \(3 \times 3\) grid with George (labelled 'G') starting from the bottom-left corner and John (labelled 'J') starting from the top-right ...

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