Wednesday, April 6MAT 146. Wednesday, April 6MAT 146.

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Presentation transcript:

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146 Our goal is to determine whether an infinite series converges or diverges. It must do one or the other. If the sequence of partial sums {s n } has a finite limit as n  ∞, we say that the infinite series converges. Otherwise, the infinite series diverges.

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146 Our goal is to generate polynomial functions that can be used to approximate other functions near particular values of x. The polynomial we seek is of the following form:

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146

Wednesday, April 6MAT 146 Goal: Generate polynomial functions to approximate other functions near particular values of x. Create a third-degree polynomial approximator for

Wednesday, April 6MAT 146 Create a 3rd-degree polynomial approximator for