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# Limits! sincovich

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### Limits! sincovich

1. 1. LIMITS!!!!!!!<br />By: Glenn Sincovich<br />
2. 2. Intended Height =<br />
3. 3. The y value that is approached as X approaches a certain value<br />
4. 4. Approaching from the Right<br />
5. 5. Has a + sign in the equation after the number that X is approaching, and this means that you look at the graph COMING from the right side, or the positive side. <br />
6. 6. Approaching from the Left<br />
7. 7. Has a - sign in the equation after the number that X is approaching, and this means that you look at the graph COMING from the left side, or the negative side. <br />
8. 8. Holes<br />AKA : Points of Discontinuity<br />
9. 9. 1. Factors that cancel in the denominator2. If everything in the denominator cancels, there are NO asymptotes, just a hole (or holes)<br />
10. 10. Asymptotes<br />
11. 11. A line that the graph approaches but never touches<br />
12. 12. Vertical Asymptotes<br />
13. 13. Factors that don’t cancel in the denominator<br />
14. 14. Horizontal Asymptotes<br />
15. 15. 1. When the greatest exponents are equal: take the ratio of the coefficients2. When the greatest exponent is in the denominator, y=0<br />
16. 16. Slant Asymptotes<br />
17. 17. When the greatest exponent is one more than the numerator: use long or synthetic division<br />