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Paul's Online Notes
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Section 10.15 : Power Series and Functions

For problems 1 – 3 write the given function as a power series and give the interval of convergence.

  1. f(x)=61+7x4 Solution
  2. f(x)=x33x2 Solution
  3. f(x)=3x2523x Solution
  4. Give a power series representation for the derivative of the following function. g(x)=5x13x5 Solution
  5. Give a power series representation for the integral of the following function. h(x)=x49+x2 Solution