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Chile National Olympiad
1995 Chile National Olympiad
6
compare (1995^{1994} + 1)/(1995^{1995}+1) (1995 Chile NMO P6)
compare (1995^{1994} + 1)/(1995^{1995}+1) (1995 Chile NMO P6)
Source:
November 22, 2021
algebra
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Problem Statement
Which of the following rationals is greater ,
199
5
1994
+
1
199
5
1995
+
1
\frac{1995^{1994} + 1}{1995^{1995} + 1}
199
5
1995
+
1
199
5
1994
+
1
ā
or
199
5
1995
+
1
199
5
1996
+
1
\frac{1995^{1995} + 1}{ 1995^{1996} +1}
199
5
1996
+
1
199
5
1995
+
1
ā
?
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