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Which term is independent of x in the ex...

Which term is independent of x in the expansion of `(x-1/(3x^(2)))^(9)`?

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The correct Answer is:
4th
`T_(r+1) = (-1)^(r)* ^(9)C_(r) *x^(9-r) * (1/(3x^(2))) ^(r) = (-1)^(r)*^(9) C _(r) *x^((9-3r))*1/3^(r).`
Putting `9-3r = 0, "we get" r=3`.
Hence , `T_(4), "i.e., 4th term is independent of x"`.
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