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

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

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

The coefficient of x^(5) in (1-x-x^(2)+x^(3))^(6) is

The coefficient of x^(20) in (1 + 3x + 3x^(2) + x^(3))^(20) ,I s

The coefficient of x^(2) in (1)/((1-2x)(1-3x)) is

The coefficient of x^(7) in (1+2x+3x^(2)+..oo)^-5

coefficient of x^(3) in 2x+x^(2)-5x^(3)+x^(4)

the coefficient of x^(3) in (1+5x)^((1)/(2)) is:

coefficient of x^(5) in (1+x+x^(2)+x^(3))^(10) is