1.

Ifxissmall, so thatx ^ 2andhigherpowerscan beneglected,thentheapproximatevalue for((1- 2x ) ^( -1)(1- 3x ) ^( -2)) /((1 - 4 x) ^( -3))

Answer»

`1 - 2x`
` 1 - 3X `
`1 -4x `
` 1 -5 x `

SOLUTION :`((1- 2x ) ^(-1) (1 - 3x )^(-2)) / ((1-4x ) ^(-3)) `
`=(1 -2x ) ^(-1) ( 1 - 3x ) ^(-2)( 1 - 4x ) ^3 `
`=(1+2x+4x ^ 2+… )( 1 +6x+…)( 1 - 12 x ) `
`= (1+ 8X )( 1 - 12 x ) `
`= 1 -4 x `


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