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A=1+12+14+18+116+132+164+⋯B=1−12+14−18+116−132+164−⋯\begin{aligned} A &= &1 + \dfrac12 + \dfrac14 + \dfrac18 + \dfrac1{16} +\dfrac1{32} + \dfrac1{64} + \cdots \\ B &=& 1- \dfrac12 + \dfrac14 - \dfrac18 + \dfrac1{16} - \dfrac1{32} + \dfrac1{64} - \cdots \end{aligned} AB==1+21+41+81+161+321+641+⋯1−21+41−81+161−321+641−⋯
What is the relationship between AA A and BBB?
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