CMI 2022 | Limits | A6 | JEE Delight | Chennai mathematical institute

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CMI 2022 | Limits | A6 | JEE Delight | Chennai mathematical institute

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Why 21 is false? As x approaches inf, 1\ lnx becomes 0, and cosx oscillates. Product of these two functions is simply 0, then why sign change infinite times?

akshatnamdeo