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Paul's Online Notes
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Home / Calculus II / Series & Sequences / Applications of Series
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Section 10.17 : Applications of Series

  1. Determine a Taylor Series about x=0 for the following integral. ex1xdx Solution
  2. Write down T2(x), T3(x) and T4(x) for the Taylor Series of f(x)=e6x about x=4. Graph all three of the Taylor polynomials and f(x) on the same graph for the interval [8,2]. Solution
  3. Write down T3(x), T4(x) and T5(x) for the Taylor Series of f(x)=ln(3+4x) about x=0. Graph all three of the Taylor polynomials and f(x) on the same graph for the interval [12,2]. Solution