23. Taylor Series - Contents

1. Taylor Series Definition

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   1. Taylor Series Definition
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   2. Computing Taylor Series
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2. Standard Maclaurin Series

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   1. Standard Maclaurin Series
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3. Constructing New Taylor Series from Old Ones

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   1. Constructing New Taylor Series from Old Ones
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4. Taylor Polynomial Approximation

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   1. Taylor Polynomial Approximation
      1. $\sin x$ about $x=0$
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      2. $\ln x$ about $x=1$
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      3. $\sqrt[\large 3]{x}$ about $x=8$
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5. Taylor Remainder

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   1. Formula and Inequality
      1. Proof
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   2. Approximation Error
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   3. Convergence Proofs
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6. Exercises

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   1. Exercises
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