\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The graph of the function \(f(x) = \left(1 + \frac{1}{x}\right)^x\) is shown below for \(x>0\).
Evaluate graphically:
\(\displaystyle\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^x =\)