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.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Some tips or help on this?

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