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MMO 190 Moscow MO 1951 compare numbers

Source:

August 7, 2019

algebraCompare

Problem Statement

Which number is greater:

\frac{2.00 000 000 004}{(1.00 000 000 004)^2 + 2.00 000 000 004}

\frac{2.00 000 000 002}{(1.00 000 000 002)^2 + 2.00 000 000 002}