My understanding is that before the epsilon-delta definition of a limit, the rigor and soundness of the definition of a limit was not good enough.
So, how did the definitions of a limit vary before the epsilon-delta definition?
I've read the Wikipedia page for the definition, so I understand past mathematicians couldn't define an infinitesimal. But, I was just hoping for further explanation and elaboration on what they did and didn't know compared to now. Was there no use of formal statements, quantifiers, conditionals back then, like seen in the epsilon-delta definition?
I was kind of hoping to see some notation and statements, equations, etc.