I have this question:
Consider the series
$e^{\tan(x)} = 1 + x + \dfrac{x^{2}}{2!} + \dfrac{3x^{3}}{3!} + \dfrac{9x^{4}}{4!} + \ldots $
Retaining three terms in the series, estimate the remaining series using "Little-$o$" notation with the best integer value possible, as $x\to 0$.
My question is:
What do they mean with "with the best integer value possible"? Someone who can point out the connection with little $o$ notation and a best integer vaulue possible?