Geometric Calculus

Algebra Level 4

\( \large - (\frac {a - b}{a})^{3} ( \frac{a}{b-c} + \frac{c}{c-d} + \frac{e}{d-e} + \frac{g}{e-f} + ... ) \)

If \(a, b, c, d, e ... \) form a geometric progression with a geometric ratio < 1, find the limit of the above expression as the geometric ratio approaches one half.

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