Sensitivity towards heat/sweet after root canal and permanent crown (Photo)

Sharp pain and sensitivity towards Hot/Sweet but not cold after a root canal and permanent crown in tooth#30. no pain w/the temp crown because of the sedative material I guess. Dental CT scan shows no infection, things seems pretty good in the picture. the endodontist thinks there might be a fracture somewhere which can't be seen on the picture. I was told to either live with the pain or take the tooth out. I need your opinion because I hate to lose my tooth for an unknown reason. Thank you Siba