On-line Math 21

On-line Math 21

1.5  Precise Definition of a Limit

Example 5 Show that

lim
x® ¥ 
 2x+3
x-1
 = 2.

Hints

Assume that e > 0 is given. We need to be able to get
2x+3
x-1
within e of 2, by taking x large enough. However, that distance can be re-written in such a way that it involves the size of x (this, or analogous tricks, are standard for these calculations).

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Copyright (c) 2000 by David L. Johnson.

File translated from TEX by TTH, version 2.61.
On 17 Oct 2000, 22:15.