Question

So sánh:                A= \(\frac{20^{10}+1}{20^{10}-1}\)  và  B= \(\frac{20^{10}-1}{20^{10}-3}\)

 

 

Answer 1

A=2010+1/2010-1=1+2/2010-1>1

B=2010-1/2010-3=1-2/2010-3<1

TU DO TA SUY RA A>B

Answer 2

B > 1 vì 20¹⁰ - 1 > 20¹⁰ - 3.

B = \(\frac{20^{10}-1}{20^{10}-3}>\frac{20^{10}-1+2}{20^{10}-3+2}=\frac{20^{10}+1}{20^{10}-1}=\)A

Vậy A < B.