AP Calculus Homework - March 11, 2023

• 0.375

• 0.625

• 0.825

• 1.375

• 0.346

• 0.352

• 0.367

• 0.371

• 0.383

• 0.387

• 0.398

• 0.405

• 0.00267

• 0.0267

• 0.0054

• 0.054

Define Interval of Convergence

• The range of y-values within which the series will converge

• The range of x-values within which the series will diverge

• The range of x-values within which the series will converge

• The range of y-values within which the series will diverge

Why do we test endpoints when determining the interval of convergence?

• Because we like doing extra math.

• The ratio test is inconclusive at these points.

• To make sure all endpoints converge.

After doing the ratio test, we are left with: |(x-3)/6|. What is the radius if convergence.

• -3

• 9

• 6

• 12

What are the endpoints of the interval of convergence for this series, if its radius is 1?

• 2 and 4

• -4 and -2

• 1 and 3

• 3 and 5

Does this series converge at x = -4?

• yes

• no