- #1

rsa58

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## Homework Statement

3. (10 points) Show that if {xn}, {yn} are two sequences of positive real

numbers then

lim (xn +yn)^(1/n) is the max of lim(xn)^(1/n) and lim(yn)^(1/n)

provided these limits exist.

## Homework Equations

Does anyone have any nice inqualities or tricks?