Archive for October 15th, 2006

Class Scribe: Dorian

Sunday, October 15th, 2006

Reciprocals of Zero and Infinity

If f(x) equals 1 over g(x) and limit g(x) as x approaches c equals 0, then limit f(x) as x approaches c is infinite.
If f(x) equals 1 over g(x) and limit g(x) as x approaches c is infinite, then limit f(x) as x approaches c equals 0.
The same properties apply if [...]

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Class Scribe: Dorian

Sunday, October 15th, 2006

Removable Discontinuity: Must be able to find the limit. The value of f(c) can be defined or redefined to make f continuous there. has a discontinuity at x = 3 because the denominator is zero there. It seems reasonable to say that the function is “continuous” everywhere else because the graph seems to [...]

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