# Homework Help: Asymptotic relation

1. Apr 16, 2010

### wimma

1. The problem statement, all variables and given/known data

Show that the corrections to the asymptotic relation $$\int ^x _B dt \sqrt{E-V(t)} \sim x\sqrt {E} + I (x \rightarrow \infty)$$ where $$I = \int ^\infty _B dt[\sqrt{E-V(t)}-\sqrt{E}] - B\sqrt{E}$$ vanish as $$x \rightarrow \infty$$ if $$V(x) \rightarrow 0$$ faster than $$1/x$$

2. Relevant equations
None

3. The attempt at a solution

Don't know how to do it at all.

Last edited: Apr 17, 2010