Wednesday, 7 January 2015

limits - How to prove this equation? ( find the maximum of a sequence)





I have a sequence, called A. It's elements are a1,a2,,an for example: (5,11,2)



Then how to prove, that this formula results the highest value in the series?



limxxni=1axi=max(a1,,an)


Answer



hint: max(a1,a2,,an)Sn1xmax(a1,a2,,an)


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