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| | limit on Encyclopedia.com |
 | | However, the sequences 1, 2, 4, 8, 16, … and 1, 2, 1, 2, 1, 2, … do not have limits. |
 | | A more precise definition of the limit of a function is: The function y = f (x) approaches a limit L as x approaches some number a if, for any positive number, there is a positive number δ such that and124; f (x) - L and124; < if 0 < and124; x - a and124; < δ. |
 | | Similarly, f (x) has the limit L as x becomes infinite if for any positive there is a δ such that and124; f (x) - L and124; < if and124; x and124; > δ. |
| www.encyclopedia.com /html/l1/limit.asp (634 words) |
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