" ii) "(x^(4))/((x-1)(x-2))" [March "20

If f(x) = (x - 1)/(4) + ((x - 1)^(2))/(12) + ((x -1)^(5))/(20) + ((x -1)^(7))/(28) + ... where 0 lt x lt 2 , then f'(x) is equal to

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)) is 2^(20)-2^(19) b. 1-2^(20) c. 2^(20) d. none of these

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)) is 2^(20)-2^(19) b. 1-2^(20) c. 2^(20) d. none of these

Factorize :(x^(2)-4x)(x^(2)-4x-1)-20

(20)/((x-3)(x-4))+(10)/(x-4)+1>0

If x+sqrt(x^(2)-1)+(1)/(x+sqrt(x^(2)+1))=20 then x^(2)+sqrt(x^(4)-1)+(1)/(x^(2)+sqrt(x^(4)-1))=

If 64x^(2) + (1)/(64 x^(2)) = 20 , then 8x - (1)/(4x) can be "_______"

lim_(x rarr2)((sqrt(x^(2)-4x+5)-1)((x+2)^(9/2)-512))/((x-2)(sqrt(x^(2)-4x+20)-4))

int (1)/(4x^(2)-20x+17)dx

The coefficient of x^(203) in the expansion of (x-1)(x^(2)-2)(x^(3)-3)dots(x^(20)-20) is