If `1/(1+2x+x^2)= 1+a_1x+a_2x^2+…..` then the value of `a_r` is (A) `2` (B) `r+1` (C) `r` (D) `2r`

If (1+x-2x^2)^6=1+a_1x+a_2x^2+……+a_(12)x^12 then

Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the range of f is (A) [-(1)/(2),(1)/(2)] (B) (-1,1)-{0} (C) R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the range of f is (A) [-(1)/(2),(1)/(2)] (B) (-1,1)-{0} (C) R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

If (1+x-2x^2)^8 = 1 + a_1x + a_2x^2 + ……+ a_16 x^16 , then a_1 +a_3 + a_5 + ……+a_15 =

If (1+x-2x^2)^8 = 1 + a_1x + a_2x^2 + ……+ a_16 x^16 , then a_1 +a_3 + a_5 + ……+a_15 = ?

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If d/(dx){x^n-a_1x^(n-1)+a_2x^(n-2)++(-1)^n a_n}e^x=x^n e^x , then the value of ar, 0 < r ≤ n, is equal to