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Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 3
 
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Example 3

05_limits_g_approx-182.gif

For infinitely large x, 1 + 1/(x - 2)2 is infinitely close to 1. Here is a table of values of 1 + 1/(x - 2)2 for large real x.

x

05_limits_g_approx-181.gif

12

1.01

102

1.0001

1002

1.000001

10002

1.00000001

As x gets large, 1 + 1/(x — 2)2 gets close to 1. Also notice that

05_limits_g_approx-183.gif

and for large negative x, 1 + 1/(x - 2)2 is close to 1.
Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 3

Last Update: 2006-11-15