In fact, if you think so, R here is the annual interest rate, but the assumption of continuous compound interest is that interest is added to the principal at any time. Therefore, the formula obtained from this definition should be:

A=P times (1+r/n) to the power of n, and n tends to infinity. ...

This formula, derived from calculus, is equivalent to A=P*e(rt).

I hope this helps. ...

Actually, you don't have to be so entangled. Just take it and use it. I believe that you won't encounter any place that needs this formula except the exam. ...

There is no such discount anymore ... The only practical significance is that I know in my heart how much interest you can pay by the most powerful compound interest ...:)