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The coefficient of x^5in(1+2x+3x^2+)^(-3...

The coefficient of `x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1)` `21` b. `25` c. `26` d. none of these

A

21

B

25

C

26

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`(1+2x+3x^(2)+"……")^(-3//2) =[(1-x)^(-2)]^(-3//2)`
`= (1-x)^(3)= 1-3x+3x^(2) - x^(3)`
Therefore, coefficientof `x^(5)` is `0`
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