Given that `cot x=(a_(0))/(x)+a_(1)x+a_(2)x^(3)+...+a_(1)x^(2k-1)+...oo` terms, `0< |x|< pi` select the INCORRECT alternative.

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)^(2)-a_(1)^(2)+a_(2)^(2)-a_(3)^(2)+....+a_(2n)^(2)

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)-a_(1)+a_(2)-a_(3)......+a_(2n) ,

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+.......+a_(2n)x^(2n) find the value a_(0)+a_(1)+a_(2)+......+a_(2)n

(1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+....+a_(18)x^(18)

(1+x)^(n)=a_(0)+a_(1)x+a_(2)*x^(2)+......+a_(n)x^(n) then prove that

If n ge 2 , and (1 + x + x^(2))^(n) = a_(0) + a_(1)x + a_(2)x^(2) + .. . +a_(2n) x^(2n) , then a_(0) - 2a_(1)+ 3a_(2) + ... + (2n + 1)a_(n) = ______

If (x^(2)+x)/(1-x)=a_(1)x+a_(2)x^(2)+............oo,|X|< then

Differentiate |x|+a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-1)+...+a_(n-1)x+a_(n)