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^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) is

The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s -99^2 b. 1 c. -2500 d. none of these

Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

Find the coefficient of x^2in(a/(a+x))^(1//2)+(a/(a-x))^(1//2)

The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (20 !)/(213 !) b. -(20 !)/(213 !) c. (20 !)/(15!2!3!) d. none of these

Solve : (2x-1)(x+3)(x-2)(2x+3)+ 20 =0

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

The sum of 20 terms of the series whose rth term s given by k T(n)=(-1)^n(n^2+n+1)/(n !) is (20)/(19 !) b. (21)/(20 !)-1 c. (21)/(20 !) d. none of these

The coefficient of the term independent of x in the exampansion of ((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(10) is 210 b. 105 c. 70 d. 112

If (1+2x+3x^2)^(10)=a_0+a_1x+a_2x^2++a_(20)x^(20),t h e na_1 equals 10 b. 20 c. 210 d. none of these