What does the Bible say about Mephibosheth's story?

Mephibosheth, the son of Jonathan and grandson of Saul, is a powerful figure in understanding God's grace. His condition of being lame symbolizes the fall of man through sin, where we are spiritually unable to approach God in our own strength. David's inquiry into whether any of Saul's descendants remain, in order to show kindness for Jonathan's sake, demonstrates the nature of God's covenant love – mercy extended not based on merit, but on grace. David's unconditional kindness is a type of Christ, who shows grace to lost sinners for the sake of His covenant with the Father. Just as Mephibosheth was offered a place at the king's table, believers are welcomed into fellowship with Christ despite their brokenness and inadequacy, receiving grace that they do not deserve.