Suppose a,b>0. Does the sequence {(a^n + b^n)^(1/n)} from n=1 to infinity converge? If so, find the limit.
Not sure where to start...
Factor out the larger of a and b. You'll need to consider the two cases where they're equal and not equal separately.
If the one case isn't clear to you, you could use the identity , and then look at the limit in the exponent.
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