Coefficient of `x^n` in `x/((x-1)^2(x-2))` is `C_n` then `lim_(n->oo) C_n/n=`

Coefficient of x^(n) in (x)/((x-1)^(2)(x-2)) is C_(n) then lim_(n rarr oo)(C_(n))/(n)=

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 coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is *^(n)C_(4)+^(n)C_(2)+^(n)C_(1)xx^(n)C_(2)

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

For n epsilon N let x_(n) be defined as (1+1/n)^((n+x_(n)))=e then lim_(nto oo)(2x_(n)) equals…..

If C_(0), C_(1), C_(2),...,C_(n) denote the binomial coefficients in the expansion of (1 + x)^n) , then xC_(0)-(x -1) C_(1)+(x-2)C_(2)-(x -3)C_(3)+...+(-1)^(n) (x -n) C_(n)=

If x_(1)=3 and x_(n+1)=sqrt(2+x_(n)),n<=1, then lim_(n rarr oo)x_(n) is

In the expansion of (x^2+2x+2)^n, nepsilonN (A) coefficient of x=n.2^n (B) coefficient of x^2=n^2.2^(n-1) (C) coefficient of x^3=n^22^(n-2) (D) none of these

If x_1=3 and x_ +1= sqrt(2+x_n), n ge 1 , then lim_(nto oo) x_n is equal to