\(A=\dfrac{100^{10}-3+2}{100^{10}-3}=1+\dfrac{2}{100^{10}-3}\)
\(B=\dfrac{100^{10}-1+2}{100^{10}-1}=1+\dfrac{2}{100^{10}-1}\)
100^10-3<100^10-1
=>A>B
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