Prove that the term independent of `x` in the expansin of `(x+1/x)^(2n)i s(1. 3. 5 (2n-1))/(n !). 2^ndot`

Prove that the term independent of x in the expansion of (x+1/x)^(2n) \ is \ (1. 3. 5 ... (2n-1))/(n !). 2^n .

The term independent of x in the expansion of (1 + x)^n (1 + 1/x)^n 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 .

Show that the middle term in the expansion of (1+x)^(2n)" is "(1.3.5. ..(2n-1))/(n!)(2x)^(n).

Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (2n-1)))/(n !)2^n x^n ,w h e r en is a positive integer.

Show that the middle term in the expansion of (1+ x)^(2n) is (1.3.5…(2n-1) )/( n!). 2^(n) . x^(n) , where n in N .

If the 5th term is the term independent of x in the expansion of (x^(2//3) + 1/x)^n then n =

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

Find the term independent of x in (1+3x)^(n)(1+(1)/(3x))^(n) .