Some of the major limitations of generative AI mainly revolve around the information that the AI is being given. If the information is biased then the AI will also be biased, this can result in biased results that may discriminate or marginalize underrepresented and minority groups solely based on the information provided. Another limitation of generative AI is the fact that it will try and help to the point of going too far and just creating or citing information that does not exist or has not happened. So you must always double-check the work and information that is given to you by generative AI because it may not always be correct. Generative AI is also completely reliant on the information that it is given and there is not always a way to check the information that it is being given and who is giving the information to the generator. When using a generative AI resource you also have to be very particular with the words that you use and the requests that you make so that you are given exactly what you asked for.
Check out this video on human bias in AI and how we can keep it separate.
Some ways that I have found GenAI useful for educational purposes have been around citations and citation generators. Having to cite papers and articles in writing was new in university and not something I am very good at, so using generative AI to create the citations has been very helpful. Another way that I have found generative AI useful is through Grammarly, which is an app that you can install and looks over any writing for grammar mistakes and gives suggestions on how to structure sentences and spelling corrections.
You can take a look at Grammarly here: https://www.grammarly.com/.