Hi OpenAI team,
I’d like to report a consistent mathematical oversight regarding the domain of the function as interpreted by ChatGPT and other models.
Issue:
The model frequently returns the domain as , excluding negative integers.
Mathematical Correction:
The function , when defined over the real numbers, is valid not only for , but also at negative integers, where it reduces to standard real values (e.g. ).
Thus, the correct domain is:
\boxed{(0, +\infty) \cup { -n \mid n \in \mathbb{N} }}
Why this matters:
Incorrect domain assumptions can mislead students, developers, or educators using the model for precise mathematical guidance.
Please consider forwarding this for model evaluation or knowledge base updates. I’m happy to provide more examples or context if needed.
Thank you for your great work!