Here are strong hints for all three.
The Archimedean Principle says: .
So that means .
.
I need to use the Archimedean Principle to prove that
both converge to zero.
Using this principle it tells me I can choose N N such that N > something . This is where I get stuck because I dont know what to choose for something in either of the cases. Maybe the fraction I could use . Any suggestions??