The wavefunction for an electron within a hydrogen atom in the $2s$ state has the following wavefunction:
However, at $r=0$,
I don't understand how this should be possible. My answer doesn't match logic and it doesn't match graphs that I find online. (every graph I see goes to zero at $r=0$)
However, this does seem to really be the wavefunction for the 2s state.
Where have I gone wrong?