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Lesson 7 Maclaurin Series

Lesson 7 Maclaurin Series. Maclaurin Series. Lesson 7 Maclaurin Series. Maclaurin Series. Special Series To Remember Forever!. Lesson 7 Maclaurin Series. Use the MacLaurin Series for arctan x to find the elusive number π. Maclaurin Series. Step 1: Compute the derivatives.

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Lesson 7 Maclaurin Series

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  1. Lesson 7 Maclaurin Series Maclaurin Series

  2. Lesson 7 Maclaurin Series Maclaurin Series Special Series To Remember Forever!

  3. Lesson 7 Maclaurin Series Use the MacLaurin Series for arctan x to find the elusive number π Maclaurin Series Step 1: Compute the derivatives

  4. Lesson 7 Maclaurin Series Step 2: Evaluate the derivatives at x=0

  5. Lesson 7 Maclaurin Series Step 3: Find the Maclaurin Series for arctan

  6. Lesson 7 Maclaurin Series Step 3: Find the Maclaurin Series for arctan

  7. Lesson 7 Maclaurin Series Let’s use a third-degree Maclaurin Polynomial for arctan to estimate π The third-degree Maclaurin Polynomial is: Since tan(π/4)=1, arctan(1)= π/4

  8. Lesson 7 Maclaurin Series Let’s use a fifth-degree Maclaurin Polynomial for arctan to estimate π The fifth-degree Maclaurin Polynomial is: Since tan(π/4)=1, arctan(1)= π/4

  9. Lesson 7 Maclaurin Series Let’s use a seventh-degree Maclaurin Polynomial for arctan to estimate π The seventh-degree Maclaurin Polynomial is: Since tan(π/4)=1, arctan(1)= π/4

  10. Lesson 7 Maclaurin Series Let’s use a ninth-degree Maclaurin Polynomial for arctan to estimate π The ninnth-degree Maclaurin Polynomial is: Since tan(π/4)=1, arctan(1)= π/4

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