Ta có: \(\frac{1}{1-\frac{1}{1-2^{-1}}}+\frac{1}{1+\frac{1}{1+2^{-1}}}=\frac{1}{1-\frac{1}{1-\frac{1}{2}}}+\frac{1}{1+\frac{1}{1+\frac{1}{2}}}\)\(=\frac{1}{1-\frac{1}{\frac{1}{2}}}+\frac{1}{1+\frac{1}{\frac{3}{2}}}=\frac{1}{1-2}+\frac{1}{1+\frac{2}{3}}=-1+\frac{1}{\frac{5}{3}}=-1+\frac{3}{5}=-\frac{2}{5}\)
Chuk bn hk tốt!