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The value of $\dfrac{x}{1-x^2} + \dfrac{x^2}{1-x^4} + \dfrac{x^4}{1-x^8} + \dfrac{x^8}{1-x^{16}}$ is

  1. $\frac{1}{1-x^{16}}$
  2. $\frac{1}{1-x^{12}}$
  3. $\frac{1}{1-x} – \frac{1}{1-x^{16}}$
  4. $\frac{1}{1-x} – \frac{1}{1-x^{12}}$
in Numerical Ability by Boss (17.5k points)
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