'Remember' in the Bible

Then she said, “Please let the king remember the Lord your God, so that the avenger of blood will not continue to destroy, otherwise they will destroy my son.” And David said, “As the Lord lives, not a single hair [from the head] of your son shall fall to the ground.”

and said to the king, “Let not my lord consider me guilty, nor remember what your servant did wrong on the day my lord the king left Jerusalem, so that the king would take it to heart.