Definitions/Examples of Some Pre-Calculus Terms

Kamunt

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Feb 11, 2006
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I'm in major trouble. Again. :oops: I've forgotten nearly everything about these topics over the course of this school year, and I have my Pre-Calc final tomorrow. :( I've been too busy studying for other classes this weekend, among other things, to study for this final, and I didn't think that things would be too bad...but they are. :cry: This probably seems pretty lame, but I'm in deep trouble if I can't get these. I would appriciate it infinately greatly if some of you guys could answer even one of my problems. Thanks SO MUCH in advance!

  • What is a logarithm, and how do the logarithm operations correlate to exponent rules? (Examples needed.)
    [/*:m:3qd2icv7]
  • For any given number of events, why are there fewer combinations of the events than permutations of the events? (Please define combination and permutation, as well...)
    [/*:m:3qd2icv7]
  • Describe the concepts of convergence and divergence (what kind of things converge or diverge, and why...).
    [/*:m:3qd2icv7]
  • Model the formula for "arithmetic mean" (a.k.a. "average") using sigma notation.
    [/*:m:3qd2icv7]
  • Compare/contrast logarithmic and exponential graphs. (Little sketches would be majorly helpful.)
    [/*:m:3qd2icv7]
  • Under what conditions does [the limit of f(x) as x approaches c] exist? Under what conditions does [the limit of f(x) as x approaches c] not exist? (More examples are needed, possibly using graphs?)[/*:m:3qd2icv7]

It's not like I haven't tried to find this information, either; my book is pretty ambiguous (go figure), and my notes apparently made sense to me at some point in time... :oops:

EDIT: I got help from another friend and had a large "No duh!" stamp placed upon my forehead while we were chatting. So I guess I don't really need much help anymore. If you really want to, I suppose you, the reader, could help me out a bit for the **** of it, but eh. If I come up with another problem, I'll make another edit.
 
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