What if Gollum had lived?

[IxnaY AintsaY]

Originally Posted by Moonraker

If it was of no use, then why did Galadriel ask Frodo to look into it?

I very much doubt the Mirror was of no use, but she never really asks Frodo to look in it.

‘Do you advise me to look?’ asked Frodo.
‘No,’ she said. ‘I do not counsel you one way or the other. I am not a counsellor. You may learn something, and whether what you see be fair or evil, that may be profitable, and yet it may not. Seeing is both good and perilous. Yet I think, Frodo, that you have courage and wisdom enough for the venture, or I would not have brought you here. Do as you will!’

Why does she invite him to use it then? That's a good question. At a guess, I'd say she was trying to learn more about what kind of person the Ringbearer really was.