There are 7 indeterminate forms but 0^inf isn't one of them. In this video, I showed the idea that 0^inf goes to 0 but we would need to do more work for 1^inf.
Example of 1^inf doesn't go to 1: https://youtu.be/h6XGsdQ-Dfs


blackpenredpen,
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Here's an example that the limit indeterminate form 1^infinity does not approach 1.

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