Section Summary: 2.6

  1. Definitions

  2. Theorems

    I didn't find any theorems in this section.

  3. Properties/Tricks/Hints/Etc.

  4. Summary

    Here we catch a glimpse of the importance of limits: they are used to define instantaneous velecity and other important rates of change, which prove important in the sciences, engineering, and the social sciences (e.g. power in physics, rates of reaction in chemistry, and marginal costs in business). Furthermore, we should note that the definition of these slopes involves a limit of a quotient whose denominator has a limit of 0: hence, a trick (e.g. simplifying the numerator, or rationalizing) will be necessary in order to evaluate the limit.

  5. Class Notes

    Things observed in the course of working problems.

Problems:

Assignment: #3, 4, 6, 8, 13, 16, 22, 24, 25; on the board, #5, 8, and 16.





LONG ANDREW E
Wed Jan 24 11:42:07 EST 2001