This verse is probably authentic. It has questionable textual support and is similar to, but not identical to, John 20:20. However, the differences with John 20:20 and the textual support favor inclusion in our versions. Evidently Jesus offered the disciples His hands, feet, and side for them to examine as further proof that His body was real. [source][source][source]
Docetism was a heresy in the early history of the church that denied that Jesus" body was genuinely human. These verses would have helped the early Christians combat this error. However these statements are not the strongest proofs of Jesus" humanity since everyone agrees that Jesus" resurrection body was different from His pre-resurrection body. Better proof consists of the evidences of Jesus" true humanity before His resurrection. Luke gave his original Greek readers many such proofs in this Gospel. [source][source][source]
Context Summary
Luke 24:36-43 - "peace Be Unto You"
Jesus Himself! We need nothing else when we are terrified and afraid. You may be fearing the consequences of your sin; fearing the approach of your enemy; fearing the future with its unknown contingencies; but Jesus Himself is the antidote of fear. He keeps the soul that trusts Him within the double doors of peace. See Isaiah 26:3.
This was not an apparition, but the clothing of the spiritual body, which evidently repeats the general outlines of the physical body, though in a rarer and more subtle substance. Does this incident not teach us that when we also are clothed in the spiritual body we shall not be wholly dissimilar from what we are today? We shall be recognizable by our beloved and they by us, 1 Corinthians 15:44.
What was it that made those hands and feet distinctly His own, except that the print of the nails was in them? John 20:27. "In the midst of the throne"¦ a Lamb as it had been slain," Revelation 5:6. [source]
Chapter Summary: Luke 24
1Jesus' resurrection is declared by two angels to the women who come to the tomb 9They report it to others 13Jesus himself appears to the two disciples that went to Emmaus; 36afterwards he appears to the apostles, and reproves their unbelief; 47gives them a charge; 49promises the Holy Spirit; 50and so ascends into heaven
Greek Commentary for Luke 24:40
[] Another Western non-interpolation according to Westcott and Hort. It is genuine in John 20:20 . [source]
Greek Commentary for Luke 24:40
Another Western non-interpolation according to Westcott and Hort. It is genuine in John 20:20 . [source]