Expansion of `5/(2-x)+1/(1+3x)` is valid if

The range of x of which the expansion of (2-3x^2)^(-11/2) is valid is

Expansion of (47x)^(-(2)/(5)) is valid if

The expansion of (3x+2)^(-(1)/(2)) is valid in ascending powers of x, if x lies in the interval.

Find the possible set of values of x for which expansion of (3-2x)^(1//2) is valid in ascending powers of x.

The range of x for which the expansion of (1-3/x)^(-3//4) is valid is

The expansion of (3x+2)^(-1/2) is valid in ascending powers of x if x lies in the interval.

Show that the expansion of (1+x)^(1/2) is not valid when x=3.