What is $e$ in Newton's Law of Cooling?

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Answer 1 · 2016-01-10T19:45:53

$e$ is the base of the natural logarithm, that is, $lnx=log_ex$ , where $e~~2.71828...$ is a very special number that occurs a lot in nature.

In mathematics, there are also other special ways to represent $e$ for example as the limit of a function

$e=lim_(x->0)(1+x)^(1/x)=lim_(x->oo)(1+1/x)^x$

or as the sum of an infinite power series

$e^x=sum_(n=0)^oox^n/(n!)$ and so $e=sum_(n=0)^oo1/(n!)$ .

What is ee in Newton's Law of Cooling?