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Particulary in starting calculus, after laying out the foundation of real numbers, exercises pretty soon start with determing limits, inflexion points, trends, and all.

Sure, play with those at first by hand, but try to plot and play with those functions in, say, Mathematica. Pretty soon you'll be able to intuitively "know" how any of the functions you could be thrown at exams should look like, which in itself is pretty usable skill.

Unrelated, I'd find it even more usable in physics, where solution guesstimate developed by exposure to numerous examples computationally solved can reliably indicate the correct solution as soon as you read the exercise or a problem.

Thanks for replying, I got to get back into Mathematica, its so different from "normal" languages. we use Matlab at uni a lot, but its not really the same at all.

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