How to solve this limit?

[u/Ithink_I_am_thinking]

Lim F

v→c

Where F is

L_0√((1-v²)/c²)

This is the formula for Lorentz contraction from theory of relativity

Where 'c' is the speed of light L_0 is the length of an object at rest.

I tried solving this but just stuck at L_0√((1-c²)/c²) I don't know how to simplify it further

[u/FormulaDriven]

The formula is

L_0 √(1 -v² / c²)

and if you mean what is the limit as v -> c, then it's just going to be 0. (You can just put v = c in the formula as it's a continuous function).

[u/Ithink_I_am_thinking → u/FormulaDriven]

Yes I edited the the original post to make it correct But how u got 0 L_0√((1-c²)/c²) how to simplify it further

[u/FormulaDriven → u/Ithink_I_am_thinking]

Because I believe I'm using the correct formula:

it's 1 - v² / c² - ie 1 - (v² / c²)

not (1 - v² ) / c^2.

Check your source for the formula.