Who told Eve about the fruit? How could Eve know not to eat from the fruit when there are no lines of verse showing she was ever told? It said "God told the man..." Eve wasn't made until later. I've checked several versions. Is this hinted in the Hebrew? Was it God or Adam that told her?
It may not be clearly represented that God instructed Eve, but it is clear that she knew:


  1 Now the serpent was more crafty than any other beast of the field that the LORD God had made. He said to the woman, "Did God actually say, 'You shall not eat of any tree in the garden'?" 
  2 And the woman said to the serpent, "We may eat of the fruit of the trees in the garden,
  3 but God said, 'You shall not eat of the fruit of the tree that is in the midst of the garden, neither shall you touch it, lest you die.'" - Genesis 3:1-3 ESV


Also, note that Adam was present, as we learn a few verses later:


  So when the woman saw that the tree was good for food, and that it was a delight to the eyes, and that the tree was to be desired to make one wise, she took of its fruit and ate, and she also gave some to her husband who was with her, and he ate. - Genesis 3:6 ESV


Keep in mind that the bible is not like a screenplay, in that not every event or conversation is documented.  But in reading Eve's response to the serpent, she clearly knew that God had forbidden eating from the tree of life.