  The property of limiting fragmentation of various observables such as
rapidity distributions ($dN/dy$), elliptic flow ($v_{2}$), average transverse
momentum ($\langle p_{T} \rangle$) etc. of charged particles is observed when
they are plotted as a function of rapidity ($y$) shifted by the beam rapidity
($y_{beam}$) for a wide range of energies from AGS to RHIC. Limiting
fragmentation (LF) is a well studied phenomenon as observed in various
collision energies and colliding systems experimentally. It is very interesting
to verify this phenomenon theoretically. We study such a phenomenon for pion
rapidity spectra using our hydrodynamic-like model where the collective flow is
incorporated in a thermal model in the longitudinal direction. Our findings
advocate the observation of extended longitudinal scaling in the rapidity
spectra of pions from AGS to lower RHIC energies, while it is observed to be
violated at top RHIC and LHC energies. Prediction of LF hypothesis for Pb+Pb
collisions at $\sqrt{s_{NN}}$=5.02 TeV is given.
