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Valid when ∣x∣|x|∣x∣ is sufficiently small for convergence
Powers increase to infinitely large numbers (diverges)
Higher powers become smaller (converges)
∣ax∣<1|ax| < 1∣ax∣<1
∣x∣<18|x| < \frac{1}{8}∣x∣<81
Factor out to get (1+...)n(1+...)^n(1+...)n form
3−2(1+23x)−23^{-2}(1 + \frac{2}{3}x)^{-2}3−2(1+32x)−2
∣x∣<32|x| < \frac{3}{2}∣x∣<23
∣x∣<17|x| < \frac{1}{7}∣x∣<71
1+ax+bx2+cx3+dx4+…1 + ax + bx^2 + cx^3 + dx^4 + \ldots1+ax+bx2+cx3+dx4+…
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