Leave $ φ_n $ Be a sequence of characteristic functions. We know that converge at each point of a **not empty
open interval around 0** yet

**function**$ φ which is also

**continued at 0.**

Can you say that the sequence

of the distribution functions corresponding to $ φ_n $They are tight

I am aware of the test of a different version where convergence occurs in the entire real line. But what to do in this case?