`(1+x)^n` is equal to:

Prove that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^(n)

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1+x)^(2n-1)

What is int_0^1 x(1-x)^n dx equal to

The value of int(dx)/(x^(n)(1+x^(n))^((1)/(n))) is equal to

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to