- Plots for problem set 9?
- Section 10.4
- General formula(s) for comparison test
- For series of non-negative values
- General formula(s) for comparison test
- Examples
- Sum of 1 / (2n-1)
- Sum of (n+3) / (n2-5)
- Oops, this has negative terms when n = 1,2
- Rewrite as sum from 3, with only positive terms, plus (negative) sum of first 2 terms
- This expression is defined and finite if and only if the series within it is
- Intuition: this behaves like the sum of 1/n, which diverges, and this can probably be shown to diverge by doing a comparison to harmonic series
- Sum of 1 / (2n-1)
- A few more points about the last example above
- Convergence of series with mixed signs
- Read section 10.5 (“Absolute Convergence; Ratio and Root Tests”)