Is There a Real Solution for a^n+b^n=c^n as n Approaches Infinity?

[Curious3141]

Both forms are not equivalent though because of that "limit" word in there (n is a dummy vairable, not actually a variable).

Yes, and this is the reason I had misgivings about solving equations with the limit notation in them. Certainly that works fine in special cases, as you illustrated.

 

[mathwonk]

this thread was so depressing from the beginning i never jumped in. questions need to be clearly stated before an answer is possible. the problem posed originally was never actually defined.

please stop this.

 

[Icebreaker]

If I could edit this, I would simply change "real" to "positive integer", and the problem would go away.