Is the following true? Note that a and b are vectors.
$$\lim_{\vec b \to 0}\frac{\vec a \cdot \vec b}{\|\vec b\|} = \lim_{\vec b \to 0}\frac{|\vec a \cdot \vec b|}{\|\vec b\|}$$
Update Sorry, instead of putting a "b", I put an "x" instead.
Is the following true? Note that a and b are vectors.
$$\lim_{\vec b \to 0}\frac{\vec a \cdot \vec b}{\|\vec b\|} = \lim_{\vec b \to 0}\frac{|\vec a \cdot \vec b|}{\|\vec b\|}$$
Update Sorry, instead of putting a "b", I put an "x" instead.