Let `f(x) = 1 - x + x^2-x^3+......+x^16-x^17 = a_0 + a_1(1+x)+a_2(1+x) + ... + a_17 (1+x)^17`, find the value of `a_2` .

Let f(x)=1-x+x^(2)-x^(3)+......+x^(17)-x^(17)=a_(0)+a_(1)(1+x)+a_(2)(1+x)+...+a_(17)(1+x)^(1) find the value of a_(2).

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

if f(x) = (x - a_1) (x - a_2) .....(x - a_n) then find the value of lim_(x to a_1) f(x)

If (1+x)^10 = a0 + a1 x + a2 x^2 + a3 x^3 + a4 x^4 + a5 x^5 + a6 x^6 +.... a10 x^10), then the value of ( a0 - a2 + a4 - a6 + a8 -a10)^2 + (a1 - a3 + a5 -a7 + a9)^2 is :

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

If cosx=a_0+a_1 x+a_2x^2+... then the value of a_2 is

Let (1+x^2)^2 (1+x)^n= A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2,........ are in A.P. then the value of n is