If `|x|<1,` then the coefficient of `x^n` in expansion of `(1+x+x^2+x^3+)^2` is `n` b. `n-1` c. `n+2` d. `n+1`
If `|x|<1,`
then the coefficient of `x^n`
in expansion of `(1+x+x^2+x^3+)^2`
is
`n`
b. `n-1`
c. `n+2`
d. `n+1`
A. n
B. n-1
C. n+2
D. n+1
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Correct Answer - D
`(1+x+x^(2) +"…..")^(2) = ((1-x)^(-1))^(2) = (1-x)^(-2)`
`= 1+2x+3x^(2) + "…"`
Therefore, coefficient of `x^(n)` is `n+1`.
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