If \( \quad x=9^{1 / 3} 9^{1 / 9} 9^{1 / 27} \ldots \ldots \). ad \...
If \( \quad x=9^{1 / 3} 9^{1 / 9} 9^{1 / 27} \ldots \ldots \). ad \( \inf \) \( y=4^{1 / 3} 4^{-1 / 9} 4^{1 / 27} \ldots . \). ad inf \( \quad \) and \( \quad z=\sum_{r=1}^{\infty}(1+i)^{-r} \)
\( \mathrm{P} \)
W then, the argument of the complex number \( w=x+y z \) is
(A) 0
(B) \( \pi-\tan ^{-1}\left(\frac{\sqrt{2}}{3}\right) \)
(C) \( -\tan ^{-1}\left(\frac{\sqrt{2}}{3}\right) \)
(D) \( -\tan ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
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