Preclass assignment due with problem set # 17

Reading : Stewart:Finish 8.3.
Key areas of focus :
What is the integral test? Why does it work? What does the Limit Comparison Test say?
Reading Question :
1. The integral from 1 to infinity of f(x) is not the same as the sum from 1 to infinity of f(n). Explain as if to a classmate who thinks they are identical.
2. The Direct Comparison, limit comparison, and Integral tests ALL require that the series be a series whose terms are eventually all positive. Why is that? (Hint: it has to do with the Monotonic Bounded Sequence Theorem on p. 570.)

There is a question on the ILT.