- #1
sinaphysics
- 8
- 0
For proving this equation:
[tex]
\delta (g(x)) = \sum _{ a,\\ g(a)=0,\\ { g }^{ ' }(a)\neq 0 }^{ }{ \frac { \delta (x-a) }{ \left| { g }^{ ' }(a) \right| } }
[/tex]
We suppose that
[tex] g(x)\approx g(a) + (x-a)g^{'}(a) [/tex]
Why for Taylor Expansion we just keep two first case and neglect others? Are those expressions so small? if yes how we can explain it?
[tex]
\delta (g(x)) = \sum _{ a,\\ g(a)=0,\\ { g }^{ ' }(a)\neq 0 }^{ }{ \frac { \delta (x-a) }{ \left| { g }^{ ' }(a) \right| } }
[/tex]
We suppose that
[tex] g(x)\approx g(a) + (x-a)g^{'}(a) [/tex]
Why for Taylor Expansion we just keep two first case and neglect others? Are those expressions so small? if yes how we can explain it?