Which paragraph of the following ChatGPT output contains a mistake? 1, 2, or 3? ...
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Which paragraph of the following ChatGPT output contains a mistake? 1, 2, or 3? 1. When you substitute , you get
, which is an indeterminate form. Applying L'Hôpital's rule once:
2. Now, when you substitute again, you get, which is still an indeterminate form. Therefore, we need to apply L'Hôpital's rule again:
3. As approaches 0, approaches 0, so the limit evaluates to.
Therefore, by applying L'Hôpital's rule twice, we find that the original limit is
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