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TIFR Mathematics 2024 | Part B | Question: 11

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There exists a function $f:[0,1] \rightarrow \mathbb{R}$, which is not Riemann integrable and satisfies
\[
\sum_{i=1}^{n}\left|f\left(t_{i}\right)-f\left(t_{i-1}\right)\right|^{2}<1
\]
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