Question

If the cell body of a pns neuron survives when an axon is damaged, axon filaments can extend peripherally from the injured site toward the original target.

Answer 1

The statement above is TRUE.
The peripheral extension of an axon filament from an injured site toward an original target is an example of axonal regeneration. Axon regeneration in the matured mammalian central nervous system is very limited after injury. But axonal regeneration is still possible in some instances such as the one given in this question.