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 cant 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.