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Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 2
 
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Example 2

Consider the limit

05_limits_g_approx-179.gif

For x infinitely close but not equal to 2, 1/(x - 2)2 is positive infinite. Let us make a table of values when x is a real number close to but not equal to 2.

x

f(x)

2.1

100

2.01

10000

2.001

1000000

1.9

100

1.99

10000

1.999

1000000

As x gets closer and closer to 2, f(x) gets larger and larger.
Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 2

Last Update: 2006-11-15