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Section 11.4 – Representing Functions with Power Series

Section 11.4 – Representing Functions with Power Series. 10.5. Find the power series representation for. centered about x = 0 and specify its radius of convergence. Infinite geometric with first term 1/3 and r = -2x/3. Converges when |r| < 1. 8. Find the power series representation for.

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Section 11.4 – Representing Functions with Power Series

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  1. Section 11.4 – Representing Functions with Power Series 10.5

  2. Find the power series representation for centered about x = 0 and specify its radius of convergence. Infinite geometric with first term 1/3 and r = -2x/3 Converges when |r| < 1

  3. 8. Find the power series representation for centered about x = 0 and specify its radius of convergence. Radius of Convergence is 1

  4. Use an appropriate identity to find the Maclaurin series • for f(x) = sin x cos x

  5. 30. Given the function f defined by • Find the first three nonzero terms in the Maclaurin • series for the function f.

  6. 30. Given the function f defined by b. Find the first three terms in the Maclaurin series for the function g defined by

  7. 30. Given the function f defined by c. Find the first four terms in the Maclaurin series for the function h defined by

  8. Converges for all x

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