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d.m.nhat1501

2 năm trước

Loga Sinh Học lớp 12

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lophocvip6bhoason

Ta có `: A = ( 1 xx 2 )/( 2 xx 2 ) xx ( 2 xx 3 )/( 3 xx 3 ) xx ( 3 xx 4 )/( 4 xx 4 ) xx ( 4 xx 5 )/( 5 xx 5 ) xx .... xx ( 2012 xx 2013 )/( 2013 xx 2013 )`

`A = 1/2 xx 2/3 xx 3/4 xx 4/5 xx .... xx 2012/2013`

`A = ( 1 xx 2 xx 3 xx 4 xx .... xx 2012 )/( 2 xx 3 xx 4 xx 5 xx 2013 )`

`A = 1/2013`

Lại có `: B = ( 2012 xx 2013 - 2012 xx 2012 )/( 2012 xx 2011 + 2012 xx 2 )`

`B = ( 2012 xx ( 2013 - 2012 ) )/( 2012 xx ( 2011 + 2 ) )`

`B = ( 2012 xx 1 )/( 2012 xx 2013 )`

`B = 1/2013`

Vì `1/2013 = 1/2013` nên `A = B`

Vậy `, A = B .`

Vote (0) Phản hồi (0) 2 năm trước

phamhungcuong8

`A = {1 × 2}/{2 × 2} × {2 × 3}/{3 × 3} × {3 × 4}/{4 × 4} × {4 × 5}/{5 × 5} × ... × {2012 × 2013}/{2013 × 2013}`

`A = 1/2 × 2/3 × 3/4 × 4/5 × ... × 2012/2013`

`A = {1 × 2 × 3 × 4 × ... × 2012}/{2 × 3 × 4 × 5 × ... × 2013}`

`A = 1/2013`

`B = {2012 × 2013 - 2012 × 2012}/{2012 × 2011 + 2012 × 2}`

`B = {2012 × ( 2013 - 2012 )}/{2012 × ( 2011 + 2 )}`

`B = {2012 × 1}/{2012 × 2013}`

`B = 1/2013`

`=> A = B`

`#dtkc`

Vote (0) Phản hồi (0) 2 năm trước

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