High School How to Develop in Series: Definition & Examples

[Vishwas K S]

How to develop in series as in the image below? What does the third term signify?

 

[Orodruin]

It is a simple Taylor expansion of the relativistic energy.

 

[Vishwas K S]

Thank you.

 

[Vishwas K S]

What does the third term signify?

 

[Ibix]

It doesn't have a name or any particular meaning as far as I am aware.

If you are measuring the energy of particles, say, when v is high enough for this term to be measurable then you ought to be using the relativistic formula for energy. Below that velocity the Newtonian approximation is good enough.