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?



lim


Answer



hint: \text{max}(a_1,a_2,\cdots,a_n) \leq S \leq n^{\frac{1}{x}}\cdot\text{max}(a_1,a_2,\cdots,a_n)


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