Mathematics
If
\(A = \sum_{n = 1}^{\infty}\mspace{2mu}\frac{1}{\left( 3 + ( - 1)^{n} \right)^{n}}\)
and
\(B = \sum_{n = 1}^{\infty}\mspace{2mu}\frac{( - 1)^{n}}{\left( 3 + ( - 1)^{n} \right)^{n}}\),
then \(\frac{A}{B}\) is equal to:\\
A
\(\frac{11}{9}\)
B
1
C
\(- \frac{11}{9}\)
D
\(- \frac{11}{3}\)
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