  Trial states describing anyonic quasiholes in the Laughlin state were found
early on, and it is therefore natural to expect that one should also be able to
create anyonic quasielectrons. Nevertheless, the existing trial wavefunctions
for quasielectrons show behaviors that are not compatible with the expected
topological properties or their construction involves ad hoc elements. It was
shown, however, that for lattice fractional quantum Hall systems, it is
possible to find a relatively simple quasielectron wavefunction that has all
the expected properties [New J. Phys. 20, 033029 (2018)]. This naturally poses
the question: what happens to this wavefunction in the continuum limit? Here we
demonstrate that, although one obtains a finite continuum wavefunction when the
quasielectron is on top of a lattice site, such a limit of the lattice
quasielectron does not exist in general. In particular, if the quasielectron is
put anywhere else than on a lattice site, the lattice wavefunction diverges
when the continuum limit is approached. The divergence can be removed by
projecting the state on the lowest Landau level, but we find that the projected
state does also not have the properties expected for anyonic quasielectrons. We
hence conclude that the lattice quasielectron wavefunction does not solve the
difficulty of finding trial states for anyonic quasielectrons in the continuum.
