A student in calculus today wanted to shake my hand after I explained e as a limit. Made my day!
@omidmnz @stevenstrogatz Sure, it's a reasonable point of view. I like to start with the project of expressing f(x) = a^x as a power series.
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@omidmnz
@stevenstrogatz Then there's an arbitrary parameter in the power series, and it seems obvious that the best choice for it is just 1 -
@omidmnz
@stevenstrogatz And formal power series suffice. You can skirt convergence questions, and just match coefficients order by order.
End of conversation
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