(Special relativity) Binomial Approximation

  • #1
2
0
Use the binomial approximation to derive the following:
A) γ=1+.5(β^2)
B)1/γ=1-.5(β^2)
C)1-(1/γ)=.5(^2)

I know the approximation is 1+(.5β^2)+(3/8)β^4+...
A) is self explanatory but not sure how to derive B) and C)
 

Answers and Replies

  • #2
PAllen
Science Advisor
2019 Award
8,219
1,462
For C, from B, arithmetic.
 
  • #3
PAllen
Science Advisor
2019 Award
8,219
1,462
For B from A, what is expansion of 1/(1+x) ?
 
  • #4
ChrisVer
Gold Member
3,360
456

Related Threads on (Special relativity) Binomial Approximation

Replies
2
Views
6K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
868
  • Last Post
Replies
5
Views
997
  • Last Post
Replies
2
Views
892
  • Last Post
Replies
12
Views
723
  • Last Post
Replies
1
Views
981
  • Last Post
Replies
3
Views
998
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
12
Views
1K
Top