Expansion of `(4–7x)^(-2/5)` is valid if

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.

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

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

Evaluate the range of x for which the expansion (9+25x^(2))^((-6)/(5)) is valid.

Find the set E of x for which the binomial expansion (3-4x)^((3)/(4)) is valid.

If the sum of the coefficients in the expansion of (1-4x+7x^(2))^(n) is "a" and the sum of the coefficients of (1+x+2x^(2))^(n) is "b" ,then find relation between a and b

Find the coefficient of x^(n) in the power series expansion of (x-4)/(x^(2)-5x+6) specifying the region in which the expansion is valid.

Find the interval of x, for which the expansion of (83x)^((3)/(2)) in terms of power of x is valid.