The middle term of `(x-1/x)^(2n+1)` is

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.

If the middle term of (x + 1/x"sin"^(-1)x)^(8) " is equal to (630)/(16) , the value of x is/are

If the k^(th) term is the middle term in (x^2 - (1)/(2x))^20 find T_k and T_(k+3)

Find the middle term of (1−x^2/2)^14 .

The (p+2)^(th) term from the end in (x-1/x)^(2n+1) is :

Show that the middle term in the expansion (x-1/x)^(2n)i s (1. 3. 5 (2n-1))/n(-2)^n .

Show that the middle term in the expansion (x-1/x)^(2n)i s (1. 3. 5 (2n-1))/n(-2)^n .

How many middle terms (x+2z)^(4n +1) possesses ?

Find the term independent of x in (x+1/x)^(2n)

Find the specified term of the expression in each of the following binomials: (iv) Middle term of (x^(4) - (1)/( x^3) )^(11) .