Topics:

• More on improper integrals: the Limit Comparison Theorem (and why it is more powerful than the direct Comparison Theorem); improper integrals when the interval of integration contains a vertical asymptote

• Introduction to Taylor polynomials

Notes to follow!

Homework:

• Review the examples we discussed in class. Especially make sure that you understand why direct comparison cannot be used in the example where I used limit comparison.

• Do the WeBWorK: there are two assignments due by Sunday evening, but do not wait to the last minute! And don’t forget to use Piazza to discuss! I have also extended the extra credit assignment on partial fractions.

• There will be a quiz next time: the topic will be improper integrals and the comparison theorems.

Don’t forget, if you get stuck on a problem, you can post a question on Piazza. Make sure to give your question a good subject line and tell us the problem itself – we need this information in order to answer your question. And please only put one problem per posted question!