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compare (1995^{1994} + 1)/(1995^{1995}+1) (1995 Chile NMO P6)

Source:

November 22, 2021
algebraCompare

Problem Statement

Which of the following rationals is greater , 19951994+119951995+1\frac{1995^{1994} + 1}{1995^{1995} + 1} or 19951995+119951996+1\frac{1995^{1995} + 1}{ 1995^{1996} +1} ?