Tuesday, September 25, 2012

Unit G Summary #7: Limit Notation for Vertical Asymptotes

7. Describe how to write limit notation for vertical asymptotes and what the notation means.
To write a limit notation for vertical asymptotes, I will just follow that same way "As x approaches____, f of x approaches____". But there are some differences in this limit notation. I used to put the positive and negative infinities for the limit notation. But for the limit notation of vertical asymptotes, I will put in a number in the blank of "As x approaches ___" and I get that number by put the denominator's factors equal to 0 and then solve for x. One special thing about this limit notation is the POSITIVE and/or NEGATIVE signs after the number. The "+" sign means that "from the right side" will the graph goes up or down. The "-" sign means "from the left side" will the graph go up or down. To show that the graph goes up or down, I will use the +/- infinity. So the final limit notation for vertical asymptotes is "As x approaches __(a number)__(+/- sign), f of x approaches __(+/- infinity)__". And the word "approaches" can be replace by the arrow pointing to the right.

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