Rút gọn \( \frac{1}{x-1} + \frac{1}{1+x} + \frac{2}{1+x^2} + \frac{4}{1+x^4} + \frac{8}{1+x^8} + \frac{16}{1+x^{16}} \)

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c) \( \frac{1}{x-1} + \frac{1}{1+x} + \frac{2}{1+x^2} + \frac{4}{1+x^4} + \frac{8}{1+x^8} + \frac{16}{1+x^{16}} \)