Why Can Derivatives Be Treated Like Fractions in Solving Equations?

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Dale said:
In a calculus class I would teach only as much real analysis or sequences as is absolutely necessary to teach calculus. I think that is pretty minimal...
I think that would not be wise. Engineers and applied mathematicians would probably be hurt by that.
 
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FactChecker said:
I think that would not be wise. Engineers and applied mathematicians would probably be hurt by that.
How?
 
Dale said:
How?
Engineers and applied mathematicians need to be very experienced and comfortable with convergent sequences and series of all sorts.