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Đáp án:

` A=1+1/2+1/3+1/4+...+1/4046`

`B=1+1/3+1/5+1/7+...+1/4045`

`=>A/B=1+(1/2+1/4+1/6+....+1/4046)/(1+1/3+1/5+....+1/4045)`

`(1/2+1/4+1/6+....+1/4046)/(1+1/3+1/5+....+1/4045)`

`1/2+1/4+1/4+1/3+1/5+....+1/4045>1/2+1/4+1/6+....+1/4048`

`=>A/B>1+(2023*4048(1+1/2+1/3+...+1/2023))/(2024*4046(1+1/2+1/3+...+1/2024))=(1+1/2+1/3+...+1/2023)/(1+1/2+1/3+...+1/2024)`

`(1+1/2+1/3+...+1/2023)/(1+1/2+1/3+...+1/2024)=1-(1/2024)/(1+1/2+1/3+...+1/2024)>1-1/2024`

`1+1/2+1/3+...+1/2024>1`

`=>(1/2024)/(1+1/2+1/3+...+1/2024)<1/2024`

`=>A/B>1+2023/2024`

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