\(B=\frac{1}{1-\frac{1}{1-2^{-1}}}\)
\(B=\frac{1}{1-\frac{1}{1-\frac{1}{2}}}\)
\(B=\frac{1}{1-\frac{1}{\frac{1}{2}}}=\frac{1}{1-2}=\frac{1}{-1}=-1\)
\(B=\frac{1}{1-\frac{1}{1-2^{-1}}}=\frac{1}{1-\frac{1}{1-\frac{1}{2}}}=\frac{1}{1-\frac{1}{\frac{1}{2}}}=\frac{1}{1-2}=-1\)