In Folland's Quantum Field Theory, he states that for all small $\epsilon$ sufficiently close to zero we have that $x^\epsilon = 1 + \epsilon\log x + O(\epsilon^2)$ and $\Gamma(\epsilon) = \epsilon^{-1} -\gamma + O(\epsilon)$, where $\gamma$ is the Euler-Mascheroni constant and $\Gamma$ is the gamma function.
Where are these two expansions from, are they from some power series expansion? I do not recognize them.