Section Summary: 2.3

  1. Definitions

    Make a list of all definitions in the section (a few words each is fine). Summarize any lengthy definitions introduced in this section in your own words.

  2. Theorems

    Make a list of all theorems (lemmas, corollaries) in the section (a few words each is fine). Summarize each one introduced in this section in your own words.

  3. Properties/Tricks/Hints/Etc.

    Make a note of any especially useful properties, tricks, hints, or other materials.

  4. Summary

    Summarize the section in two or three sentences.

    Many properties of limits are very common sense: sums, differences, products, quotients, powers, roots, etc. are computed simply. It is especially easy to compute limits as tex2html_wrap_inline257 for important classes of functions like polynomials and rational functions: simply evaluate the function at a, f(a)! The most interesting theorem in this section is probably the pinching theorem, and the idea of squeezing a function between two others and deducing properties of the squeezed function from their behavior is very interesting.

Problems we might do together:

p. 92-93, #2, 3-9 odd, 10, 21, 34, 38, 47





LONG ANDREW E
Tue Jan 16 22:59:37 EST 2001