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2. Thursday, March 31MAT 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.

3. Thursday, March 31MAT 146 The harmonic series is the sum of all possible unit fractions.

4. Thursday, March 31MAT 146 A geometric series is created from a sequence whose successive terms have a common ratio. When will a geometric series converge?

5. Thursday, March 31MAT 146 A telescoping sum can be compressed into just a few terms.

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29. Thursday, March 31MAT 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:

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33. Thursday, March 31MAT 146 Goal: Generate polynomial functions to approximate other functions near particular values of x. Create a third-degree polynomial approximator for

34. Thursday, March 31MAT 146 Create a 3rd-degree polynomial approximator for