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Power Series

Up a level : Calculus and Analysis
Previous page : Euler's number e
Next page : The Harmonic series

Power series is a powerful tool to calculate functions like sine and cos, and to be able to solve differential equations that we may not be able to solve in other ways + a lot more. So with no further ado:

  • Power Series – an introduction
  • Mclaurin series – a first take
  • Taylor series
  • Logarithms
  • Integrating and differentiating a series
  • Radius of convergence and interval of convergence
  • Radius of convergence – another example
  • Series – some general rules
  • Some interesting examples based on the Fibonacci series
  • Proof that ratios of Fibonacci successive numbers tend to the Golden ratio
  • A second take on Taylor series
  • Lagrange´s error term
  • The exponential function again
Up a level : Calculus and Analysis
Previous page : Euler's number e
Next page : The Harmonic seriesLast modified: Mar 25, 2019 @ 17:24
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