# Math Help - Distributional limit

1. ## Distributional limit

Hoi, im little new on functional analysis stuff...and I want to calculate the distributional limit of $u_{t,N}(x)= e^{itx}t^N$ defined for $x\geq 0$ and $u_{t,N}(x)=0$ elsewhere. So for any test-function $\phi$ we have like $\left\langle u_{t,N},\phi \right\rangle = i \phi(0)t^{N-1} + i\left\langle u_{t,N-1},\phi' \right\rangle$ by partial integration. (at least that is what Ive got....) . So how do we solve the distributional limit? Whats the idea...