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Dec 11, 2022 at 19:37 comment added Jiaji Huang @losif I see your post and the answer there. Thank you! Also replied over there.
Dec 11, 2022 at 3:57 comment added Iosif Pinelis @JiajiHuang : See an answer to your additional question, with $f$ continuous, at mathoverflow.net/a/436317/36721
Dec 9, 2022 at 18:25 comment added Iosif Pinelis @JiajiHuang : I think it is possible, and I will have your question in mind.
Dec 9, 2022 at 18:13 vote accept Jiaji Huang
Dec 9, 2022 at 18:13 vote accept Jiaji Huang
Dec 9, 2022 at 18:13
Dec 9, 2022 at 18:12 comment added Jiaji Huang thank you! This is really helpful! The counter example is not a continuous function. Would it be possible to construct a counter example that is a continuous function?
Dec 9, 2022 at 13:57 history edited Iosif Pinelis CC BY-SA 4.0
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Dec 9, 2022 at 13:46 history edited Iosif Pinelis CC BY-SA 4.0
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Dec 9, 2022 at 13:23 history answered Iosif Pinelis CC BY-SA 4.0