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The limits that FAIL TO EXIST! 1.5 Infinite Limits
Let’s look at
Volcano: Pick an M, there is always an f(x) that is higher. Bottomless pit:  Pick an N, there is always an f(x) that is lower
Ex 1 p.84  Determining limits from a graph FIND: Can anyone name the vertical asymptote(s) for each?
p. 84,85 Each of the preceding parts from Ex. 1 were rational functions, and the asymptote occurs at a number that makes the denominator 0.  In general,
Like Ex 2 p. 85, Finding Vertical Asymptotes. Determine all vertical asymptotes: Hint:  rewrite as ratio
Ex 3 p. 86  Rational Function with Common Factors Determine all vertical asymptotes.
Ex 4 p.86  Determining Infinite Limits Find each limit.
1.5a p.88/ 1-5, 9, 11, 15, 23, 25-29

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Calc 1.5a

  • 1. The limits that FAIL TO EXIST! 1.5 Infinite Limits
  • 3. Volcano: Pick an M, there is always an f(x) that is higher. Bottomless pit: Pick an N, there is always an f(x) that is lower
  • 4. Ex 1 p.84 Determining limits from a graph FIND: Can anyone name the vertical asymptote(s) for each?
  • 5. p. 84,85 Each of the preceding parts from Ex. 1 were rational functions, and the asymptote occurs at a number that makes the denominator 0. In general,
  • 6. Like Ex 2 p. 85, Finding Vertical Asymptotes. Determine all vertical asymptotes: Hint: rewrite as ratio
  • 7. Ex 3 p. 86 Rational Function with Common Factors Determine all vertical asymptotes.
  • 8. Ex 4 p.86 Determining Infinite Limits Find each limit.
  • 9. 1.5a p.88/ 1-5, 9, 11, 15, 23, 25-29