Section 12.1, Due 2 December

The most difficult part of the material was proving that a series diverges by using a proof by contradiction.  It does not seem like an easy thing to do.  Other than that, it was simply 12.1 plus some induction, which really is not too difficult.

The most interesting part was the harmonic series.  It is weird to think that it is a diverging series, but it did remind me of a math joke, though it is not the same series.  A mathematician walks into a bar and orders 1 glass of soda, then the next mathematician comes in and orders a half glass of soda, then another comes in and orders 1/4 glass.  At this point the bartender sees a long line of mathematicians and simply pours 2 glasses.  Because of this joke I know this series converges to two.