Question

so sanh:

A=100⁹+4/100⁹-1; B=100⁹+1/100⁹-4

Answer 1

\(A=\frac{100^9+4}{100^9-1}=\frac{100^9-1+5}{100^9-1}=1+\frac{5}{100^9-1}\)

\(B=\frac{100^9+1}{100^9-4}=\frac{100^9-4+5}{100^9-4}=1+\frac{5}{100^9-4}\)

Vì 1 = 1; 5 = 5 và 100⁹ - 1 > 100⁹ - 4

=> \(1+\frac{5}{100^9-1}<1+\frac{5}{100^9-4}\)

=> A < B.