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Previous Year Question (PYQs)
4
For each $t \in \mathbb{R}$, let $[t]$ be the greatest integer less than or equal to $t$.
Then $\displaystyle \lim_{x \to 0^{+}} x\left(\left[\frac{1}{x}\right] + \left[\frac{2}{x}\right] + \cdots + \left[\frac{15}{x}\right]\right)$
Solution
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