1.

Leta, bandcbe suchthat(1)/((1 - x ) (1 -2x)(1 - 3x)) = (a ) /( 1- x )+(b)/(1- 2x )+(c )/( 1- 3x ),then(a )/(1) + (b)/(3)+(c )/(5)is equal to

Answer»

` (1)/(15) `
`(1)/(6) `
`(1)/(5) `
`(1)/(3) `

SOLUTION : ` ( 1)/((1- X )(1- 2x )(1 - 3x) )=(a ) /((1-x ))+(b)/(( 1-2x)) +(C )/((1-3x))… (1)`
substituingx= 2 inequation(1)
`(1)/((1 - 2)(1 - 2(2)) (1 - 3(2)))=(a)/((1- 2))+(b)/((1-2(2))) + (c )/((1-3(2))) `
` rArr(1)/(-15)= - a+ (b)/((-3))+ (c )/((-5)) `
` rArr(1)/(15) = (a)/(1) + (b)/(3)+ (c )/(5) `


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