Functions expressed as power series

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Examples
Lessons
  1. Expressing Functions as Power Series
    Express the following functions as power series, and then find the interval of convergence:
    1. 11x2 \frac{1}{1-x^2}
    2. 12x \frac{1}{2-x}
    3. x21+3x2 \frac{x^2}{1+3x^2}
  2. Irregular Function expressed as a Power Series
    Express the function f(x)=ln(7x)f(x)=ln(7-x) as a power series and find the interval of convergence.
    1. Derivative of a Function expressed as a Power Series
      Express the derivative of this function f(x)=11xf(x)=\frac{1}{1-x} as a power series and find the interval of convergence.