This is one of my exercise problem regarding the limit lesson.
The problem: In the theory of relativity, the mass of a particle with velocity v is
where is the mass of the particle at rest and c is the speed of light. What happen as ?
I am thinking that the problem is asking me to find the limit of the equation above as v approaches c from the left, but I cannot get rid of the radical sign. I try to rationalize the denominator, but it does not lead me to an answer which I think is correct.
ANY HINT IS APPRECIATED.
Thanks
I'm not sure that I follow.
tHE THING IS THAT i REALIZE TWO THINGS
(1.) is constant
and
(2.)
Now, from (2.) I realize that the denominator goes to zero, while from (1.) I realize that this will make the expression as a whole grow withought boud. So I substitute for the denominator , and then study the behavior as
First of all thank you for showing me Vonnemo19 and e^(i*pi). I think I got it now. Here is how I understood it.
We want to know what happen as in the
1. since the denominator will get closer and closer to 0 but cannot be= 0 (else undefine).
2. Let and study the behavior as
So:
Since is a constant