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I gave you the chapter, but you snipped the verse and tried to confuse the issue. Let me help you, it's really not that hard with the whole context.
Nathan, God's prophet, tells David exactly why the child will die.:
2 Samuel 12: And Nathan said unto David, The Lord also hath put away thy sin; thou shalt not die.
14 Howbeit, because by this deed thou hast given great occasion to the enemies of the Lord to blaspheme, the child also that is born unto thee shall surely die.
Who's confused?
I acknowledged that GOS was the killer.
And gave the verse to show it!
I never asked WHY GOD did this; I merely asked a subsequent question: "With very many infants lost to death during their first few days of life at this time period; were they ALL KILLED by God?"