Cho B= 1/4 + 1/5 + 1/6 + ……….+ 1/19. Hãy chứng tỏ rằng B>1 04/09/2021 Bởi Lyla Cho B= 1/4 + 1/5 + 1/6 + ……….+ 1/19. Hãy chứng tỏ rằng B>1
`B=1/4+1/5+1/6+…+1/19` `⇒B>1/4+\underbrace{1/19+1/19+1/19+…+1/19}_{\text{15 chữ số}}` `⇒B>1/4+15. 1/19` `⇒B>1/4+15/19` `⇒B>19/76+60/76` `⇒B>79/76>1` `⇒B>1` `(đpcm)` Bình luận
`B=1/4+1/5+1/6+…+1/19`
`⇒B>1/4+\underbrace{1/19+1/19+1/19+…+1/19}_{\text{15 chữ số}}`
`⇒B>1/4+15. 1/19`
`⇒B>1/4+15/19`
`⇒B>19/76+60/76`
`⇒B>79/76>1`
`⇒B>1` `(đpcm)`