So I've been reading Ti vs. Te threads, but the problem is I can't tell which function I relate to more. Maybe I'll post an example of my thought process, and someone can help clarify whether it's Ti or Te.
Last year I had an interesting math class. There were only six people in the class (including myself), and there was a lot of flexibility with how you could solve problems, which I liked very much. If a method seemed too meticulous or annoying to me, I would often invent my own way to solve it, which often involved guess-and-check. I got pretty good doing at guess-and-check using the graphing function on my calculator. It saved me a lot of time and energy. Another thing is that I had a somewhat unique way of solving convergence/divergence problems. Instead of using the formulas like everyone else (I find following a long step-by-step process annoying), I would look at the function and estimate whether it converged or diverged by assigning approximate, greater than/less than values to the parts, and essentially learning the rules of the system. For example, (in a summation equation where x approaches infinity) x^x > x! > x^5 > 5. Therefore, a function like (x! + 5) / (x^5 + 7) would diverge because x! is greater than x^5, and the constants are irrelevant.
I think this is Ti, but since I seem to have the wrong impression of Ti, I can't be sure. My classmates were mostly Te users (I think) who followed the formulas exactly and did all the steps the way they were supposed to, and I don't think they really understood my strange methods.