If `|x|lt1` then coeficient oif `x^n` in expression of `(1+x+x^2+x^2+……)^2` is (A) `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

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

If n is not a multiple of 3, then the coefficient of x^(n) in the expansion of log_(e)(1+x+x^(2)) is : (A) (1)/(n)(B)(2)/(n)(C)-(1)/(n)(D)-(2)/(n)

The coefficients of x^n in the expansion of (1+x)6(2n) and (1+x0^(2n-1) are in the rtio of (A) 1:2 (B) 1:3 (C) 3:1 (D) 2:1

If A and B are the coefficients of x^(n) in the expansion (1+x)^(2n) and (1+x)^(2n-1) respectively,then

The coefficient of 1/x in the expansion of (1+x)^(n)(1+1/x)^(n) is (n!)/((n-1)!(n+1)!) b.((2n)!)/((n-1)!(n+1)!) c.((2n-1)!(2n+1)!)/((2n-1)!(2n+1)!) d.none of these

" The coefficient of "x^(n)" in "(1-x/(1!)+(x^2)/(2!)+..+((-1)^n(x^n))/(n !))^2

Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p be the left hand derivative of |x - 1| at x = 1. If lim_(x->1) g(x) =p, then (A) n=1,m=1 (B) n=1,m=-1 (C) n=2,m=2 (D) n>2,m=n

The total number of terms which are dependent on the value of x in the expansion of (x^(2)-2+(1)/(x^(2)))^(n) is equal to 2n+1 b.2n c.n d.n+1

If f(x)=(a-x^(n))^((1)/(n)) then fof(x) is (A) x (B) a-x (C)x^(2)(D)-(1)/(x^(n))