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|x| < 16 |x| < 12 |x| < 1 |x| < 6

Use the binomial series to expand the function as a power series. Find the radius of convergence. {image}. |x| < 16 |x| < 12 |x| < 1 |x| < 6. Use the binomial series to expand the function as a power series. Find the radius of convergence. {image}. |x| < 13 |x| < 1 |x| < 10 |x| < 5. 1.

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|x| < 16 |x| < 12 |x| < 1 |x| < 6

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  1. Use the binomial series to expand the function as a power series. Find the radius of convergence. {image} • |x| < 16 • |x| < 12 • |x| < 1 • |x| < 6

  2. Use the binomial series to expand the function as a power series. Find the radius of convergence. {image} • |x| < 13 • |x| < 1 • |x| < 10 • |x| < 5

  3. 1. 2. 3. Use the binomial series to expand {image} • {image} • {image} • {image}

  4. 1. 2. 3. 4. 5. 6. Expand {image} as a binomial series. • {image} • {image} • {image} • {image} • {image} • {image}

  5. The period of a pendulum with length L that makes a maximum angle {image} with the vertical is {image} where {image} and g is the acceleration due to gravity. Use the inequality {image} to estimate to the thousandth the period of a pendulum with L = 2 meter, {image} and g = 9.8. • T = 3.825 • T = 2.092 • T = 2.846 • T = 3.479 • T = 2.251 • T = 3.821

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