I know there are many ways of calculating (or should I say "ending up at") the constant e. How would you explain e concisely?
It's a rather beautiful number, but when friends have asked me "what is e?" I'm usually at a loss for words -- I always figured the math explains it, but I would really like to know how others conceptualize it, especially in common-language (say, "English").
related but not the same: Could you explain why $\frac{d}{dx} e^x = e^x$ "intuitively"?
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