Find the limits between which x must lie in order that the greatest term in the expansion of `(1+x)^30` may have the greatest coefficient.

The interval in which x must lie so that the greatst term in the expansion of (1 +x)^(2n) has the greatest coefficient,is

The interval in which x must lie so that greatest term in the expansion of (1+x)^(2n) has the greatest coefficient is

Which terms in the expansion of (x+(1)/(2x))^(3n) has the greatest coefficient ?

The greatest term in the expansion of (1+x)^(10) when x=2/3 is

If x=1/3 , then the greatest term in the expansion of (1+4x)^8 is the :

The interval in which x must lie so that the numerically greatest term in the expansion of (1 - x)^(21) has the numerically greatest coefficient, is

The interval in which x must lie so that the numerically greatest term in the expansion of (1 - x)^(21) has the numerically greatest coefficient, is

If n even positive integer, then the condition that the greatest term in the expansion of (1+x)^(n) may also have the greatest coefficient is

If n is an even positive integer, then find the value of x if the greatest term in the expansion of (1+x) ^n may have the greatest coefficient also.