Friday, 11 October 2013

20096

Write the set of all positive integers in triangular array as
1           3         6           10          15       ...

2           5         9           14          ...       ...

4           8        13           ...          ...       ...

7          12        ...           ...          ...       ...

11        ...         ...          ...          ...       ...

Find the row number and column number where 20096 occurs. 
For example 13 appears in the 3rd. Row and 3rd. Column.

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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...