Answer:
The mass [tex]m[/tex] would tend to infinite.
v→c ⇒ m→∞
Explanation:
We can calculate the following limit easily:
[tex]\lim_{v \to c} \sqrt{1-\frac{v^{2} }{c^{2} } }=\sqrt{1-1} =0\\[/tex]
So,
[tex]\lim_{v \to c} \frac{m_{0} }{\sqrt{1-\frac{v^{2} }{c^{2} }} }=infinite[/tex].
This means that mass will only increase as velocity approaches light velocity [tex]c[/tex]. It also means that a particle would need infinite energy to travel at light speed.
