I've been tasked with showing that
$\frac{\delta m}{m_0}$~$\frac{1}{2}(\frac{v}{c}))^2$
From $\frac{m}{m_0}$$=$$1$$-$$(-\frac{1}{2}(\frac{v}{c}))^2$
Assuming v is small.
Im not sure what approximation I am supposed to make to show this. And that is all I am given. My intuition says some approximation where v is much much small than c allows me to do this but I am not sure where to go from there.
Any nudge in the right direction is appreciated!