- 11.1 returned, graded #15 and 22.
- Lots of equality abuse going on.
-
when = is correct
-
-
- #22:
- you need to show that
- L'Hopital doesn't work, does it?
- you need to show that
- Lots of equality abuse going on.
- 11.2 homework due. I'll have it available on my door on Wednesday,
if you'd like to pick it up before our exam next Thursday.
- The exam will cover material from chapter 8 to 11.3 (remember that
one problem of those I've assigned for 11.3 will figure prominently in
the exam).
- Examples:
- #84, p. 565: Divergence
of the harmonic series (and dominoes!).
- We discovered that the formula was wrong, which we
could show in two ways:
- The units didn't work out; and
- A simple example showed that it was wrong.
- We worked out the correct formula.
- Now here's a web page that will hopefully clarify things
- We discovered that the formula was wrong, which we
could show in two ways:
- Would you like to pick some more?
- #84, p. 565: Divergence
of the harmonic series (and dominoes!).
- Assignment: To be handed in (due 10/27): pp. 570-571, #7, 10, 11, 14, 17, 20-26, 28
-
Again, our mission here is not necessarily the value of the
series, but may be simply knowledge of whether it converges or
not.
That being said, Theorem 2 below does give us some help in determining the value of (or at least bounds on the value of) the series.
- Series that converge absolutely, and
- Series that don't.
- Examples:
- #2, p. 570
- #18, p. 570:
- #27, p. 570