If `f(x)=1-x+x^2-x^3++^(15)+x^(16)-x^(17)` , then the coefficient of `x^2inf(x-1)` is `826` b. `816` c. `822` d. none of these

If f(x)=1-x+x^2-x^3+. . -x^(15)+x^(16)-x^(17) , then the coefficient of x^2 in f(x-1) is a. 826 b. 816 c. 822 d. none of these

If f(x)=1-x+x^2-x^3+...+x^(15)+x^(16)-x^(17) , then the coefficient of x^2inf(x-1) is 826 b. 816 c. 822 d. none of these

If f(x)=1-x+x^2-x^3++^(15)+x^(16)-x^(17) , then the coefficient of x^2 in f(x-1) is 826 b. 816 c. 822 d. none of these

If (x)=1-x+x^(2)-x^(3)++^(15)+x^(16)-x^(17)f(x)=1-x+x^(2)-x^(3)++1^(15)+x^(16)-x^(17) then the coefficient of x^(2)in f(x-1) is 826 b.816 c.822 d.none of these

Let f(x) = 1 - x +x^2-x^3+......+x^16+x^17 , then coefficient of x^2 in f(x-1) is?

The coefficient of x^(5)in(1+2x+3x^(2)+...)^(-3/2)is(|x|<1)21 b.25c.26d .none of these

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) 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