On-line Math 21

On-line Math 21

Example 1 an = 1/2n

[Solution:]For this, all you need to see is that, as n increases, the denominator, 2n increases (very quickly), and increases without bound. So, the fraction an = 1/2n decreases down to 0. So, we say that the limit of this sequence is 0, or

lim
n® ¥ 
 1
2n
 = 0.

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Copyright (c) 2000 by David L. Johnson.

File translated from TEX by TTH, version 2.61.
On 26 Sep 2000, 12:15.