Meaning of $ e^x = 1 + x + Θ(x^2)$? In the CLRS chapter 3: When $x → 0$, the approximation of $e^x$ by $1+x$ is quite good:


  $$e^x = 1 + x + Θ(x^2).$$


How is it to be interpreted, what is the role of asymptotic notation here?
There are constants $c,C,\epsilon &gt; 0$, such that $1+x+cx^2 \le e^x \le 1+x+Cx^2$ whenever $|x| \leq \epsilon$.