Inspired by Raghav Vaidyanathan

Calculus Level 5

Let \( a_{i,j} = \begin{cases} \frac{ 1}{i \times j } & i < j \\ 0 & i \geq j \\ \end{cases}\).

What is the value of

\[ \sum_i \sum_j a_{i,j} - \sum_j \sum_i a_{i,j} ? \]


Inspiration

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