0/0 is an "indeterminate form".
This means that it's not only undefined, but that if two functions f(x) and g(x) both approach 0 as x approaches some number, then f(x)/g(x) could approach any finite number or ∞ or −∞; it depends on which functions f and g are.
I know this is a confusing answer, but 0/0 is a very unique case in mathematics and frustratingly provides no direct answer.
0/0 is an "indeterminate form".
This means that it's not only undefined, but that if two functions f(x) and g(x) both approach 0 as x approaches some number, then f(x)/g(x) could approach any finite number or ∞ or −∞; it depends on which functions f and g are.
I know this is a confusing answer, but 0/0 is a very unique case in mathematics and frustratingly provides no direct answer.