Calculus 2.2

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Warmup No calculator
4) Find the average speed in ft/sec of a ball
modeled by
over the time period 2,6 (feet
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2.2 Limits Involving Infinity
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Make a table using your calculator
x f(x)
1
10
100
1000



Lets push the value of x towards infinite
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As the denominator gets larger, the value of the
fraction gets smaller.
There is a horizontal asymptote if
or
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Example 1
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Example 2
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Example 3
Find
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Infinite Limits (Vertical Asymptotes)
As the denominator approaches zero, the value of
the fraction gets very large.
vertical asymptote at x0.
If the denominator is positive then the fraction
is positive.
If the denominator is negative then the fraction
is negative.
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Evaluate without a calculator
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Determine Vertical Asymptotes and evaluate each
limit
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Example 4
The denominator is positive in both cases, so the
limit is the same.
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Limits approaching infinite. aka HA
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Find
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• Example
• Sketch a function f(x) that has all of the
  following properties

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The end
p. 71 (1-8, 9-21 odd, 47-49)