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Chapter 7: Taylor Series
Goals
- Find the Taylor series approximation for a particular function at a given point.
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- Find the Maclaurin series approximation for a particular function.
- Write the general term for a Taylor or Maclaurin series.
- Determine whether a series converges by using the Divergence Test, the Ratio Test, or the Alternating Series Test.
- Determine the interval of convergence for a given power series.
- Identify a geometric series.
- Identify a harmonic series.
- Give the Taylor and Maclaurin series for sine, cosine and exponential functions.
- Use sigma notation to represent infinite sums.
- Perform operations on infinite series.
Mathcad®
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