Answer to Extra Credit Problem

Here's a one-stop for everyone needing detail on analysis. You can find the answer to the extra credit problem there as well as just about anything about mathematical analysis you want. I have a chalkboard at my house and can host some get-togethers for studying and analysis if you want. I think we could all benefit from it.

Alternatively, there's another approach offered from UC-Davis introduction to analysis course, of which our professor is an alumni. 

3.2 answers minus (35-45odd)

3.1 minus first and last problems (where'd they go?)

3.3 Answers 1-17 odd, 21-29 eeo with Thms (thm 3.5 is the most important)

Feel free to post answers on this post! I'm looking for your methods as well. I'd like to find the shorter path.  I write the theorems over and over for myself in order to learn them well enough to handle stress of testing.

Trig Skillz

The only trig id variations beyond the pythagorean id's in the homework problems assigned have been double angle formulas. Am I correct in reviewing that? Of course, you must know how to manipulate amplitude, period and shift, but I think that's part of the fundamentals and couldn't be covered as a form of review here. Double angles were covered briefly in my trig course, and they're the only ones I've seen in the problems. Here's my trig sheet that hangs by my table.

Trickster 1.5 problem

In order to use Thm 1.15, sin(x) must be converted to csc (x) as sin (0) = 0 and cannot be claimed as an infinite denominator while csc (0) = infinity and fits into Thm. 1.15. 

Likely 1.5 problem? With proof.

I think that's what she was getting at in class. I'm still weary of the non-graphical proof of the existence of the vertical asymptote, but this should do for the minimum work/maximum credit. I'm prepared for either case.