Step 1: When confirming a fracture, doctors look for findings that can be explained by nothing other than a broken bone. These are called pathognomonic or unfailing signs.
Step 2: If a limb bends or moves at a spot that has no joint, the bone must be discontinuous. This abnormal mobility, along with crepitus (a grating sensation of bone ends), points directly to a fracture.
Step 3: Swelling, pain and simple tenderness can be produced by many injuries such as contusions and ligament tears, so they cannot clinch the diagnosis. The standout diagnostic sign here is abnormal mobility.
\[\boxed{\text{Abnormal mobility at fracture site}}\]