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Finding the radius of convergence of a power series
@RJLiberator and @Ray Vickson, thank you both for the help. Sloppy algebra seems to be my perpetual downfall.- R Letter
- Post #5
- Forum: Calculus and Beyond Homework Help
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Finding the radius of convergence of a power series
Homework Statement Σ(n=0 to ∞) ((20)(-1)^n(x^(3n))/8^(n+1) Homework Equations Ratio test for Power Series: ρ=lim(n->∞) a_(n+1)/a_n The Attempt at a Solution I tried the ratio test for Power Series and it went like this: ρ=lim(n->∞) (|x|^(3n+1)*8^(n+1))/(|x|^(3n)*8^(n+2)) =20|x|/8 lim(n->∞)...- R Letter
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- Calculus Convergence Power Power series Radius Radius of convergence Ratio test Series
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- Forum: Calculus and Beyond Homework Help