Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid.
`1/(5+x)`

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid. (5+x^(2))^(2/3)

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid. 2/((3+4x)^(2))

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid. (x+2)^((-2)/3)