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

Find the coefficient of x^5 in (1+2x+3x^2...........)^(-3/2)

Find the coefficient of x^(5) in (x^(2) - 3/x)^(7)

Statement 1: The coefficient of x^n is (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !))^3 is (3^n)/(n !) Statement 2: The coefficient of x^n ine^(3x)i s(3^n)/(n !)

If |x| lt 1 , then the coefficient of x^(5) in the expansion of (1+ 2x + 3x^(2) + ..........)^((-3)/2) is

The coefficient of x^(2) and x in 2x^(3) -5x^(2)+ 6x-3 are respectively ………………….

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

Let a and b be the coefficients of x^3 in (1+x+2x^2+3x^3)^4a n d(1+x+2x^2+3x^3+4x^4)^4, then respectively. Then the value of 4a//b 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

The coefficient of x^70 in the product (x-1)(x^2-2)(x^3-3)....(x^12-12) is