- #1
semidevil
- 157
- 2
so I need to show that Z(n) := ((a^n + b^n))^(1/n), show that the limit of Z(n) = b, given 0 < a < b.
been going back and forth and can't think of anything, but here are some random thoughts.
-basically, if I look at this in terms of definition, it is saying to show that |Z(n) - b | < episilon
- a < b means a^n < b^n
-can I conlcude that b is an upperbound?
are any of these important to solving this proof?
any ideas guys? I'm just stumped and dotn know where to start.
been going back and forth and can't think of anything, but here are some random thoughts.
-basically, if I look at this in terms of definition, it is saying to show that |Z(n) - b | < episilon
- a < b means a^n < b^n
-can I conlcude that b is an upperbound?
are any of these important to solving this proof?
any ideas guys? I'm just stumped and dotn know where to start.