1.

If(x ^ 3 )/((2x-1)(x + 2 )(x - 3 )) = A +(B)/(2x - 1 )+(C )/(x + 2 )+(D)/(x - 3 ) ,then A isequalto

Answer»

` (1)/(2) `
`- (1)/(50)`
` - (8)/(25) `
`(27)/(25) `

Solution : ` ( X ^ 3 )/((2x- 1 )(x + 2 ) (x- 3 ))= A+ (B)/((2x- 1 ))+(C )/((x + 2)) +(D)/((x - 3 )) `
Thequotientobtained, when `x ^ 3 `isdivided by` (2x- 1 )(x + 2 )( x - 3 ) `is` (1)/(2) `
`therefore A = (1)/(2) `


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