#Continuity of partial derivatives
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Im assuming you are trying to prove that f is not continuous at (0,0)
yup
Maybe chatgpt meant that f(0,t)=0 for all t thus the limit is 0 for t approaching 0, but the limit of f(x,x) is 1/4 for x approaching thus we must have 1/4=0 if f were continuous, which is absurd
Chatgpt said it in a really bad way but maybe that’s what is meant
It’s probably a dimwit
ChatGPT??? ChatGPT literally only knows how to put words in grammatical order, don't use it for math.
Chatgpt is ass at math
thats what i suspect, but goddamn all the step by step alternatives cost money
It didn't "mean" anything because it doesn't have intent, it just puts words in order.
If you just want to prove discontinuity, or that the limit doesn't exist, you now just need to approach the limit along a curve that isn't y = x and show that it's different.
That is, not 1/4.
Maybe not I never used chatgpt for math i just know it’s bad at math from what I heard
if you get it the right answers it can work
its better than learning shit just by reading pdfs of how to do math
but anything is
and if you dont have solutions, it is not to be trusted
Assuming you want to find $\lim_{(x, y) \to (0, 0)}\frac{\sin(x^2y^2)}{(x^2 + y^2)^2}$
Techie Literate
It can't, though. It literally only puts words in grammatical order. That's what a large language model is.
It's a neural network that reads billions of words of text, measures how often certain words come after certain other words, then just spits out the most common sequence of words.
Yeah, that's probably a mistake.
Oh, wait... Ah, man. The comments didn't load again until I wrote something...
that sucks
Very weird that it keeps happening lately.