Unformatted text preview: lim x ± a + f x ( ) = L ). That is, a two-sided limit exists ± the left-hand and right-hand limits exist, and they equal the same real constant. The value of the two-sided limit then equals that constant. If either one-sided limit does not exist (DNE), or if the two one-sided limits exist but are unequal, then the two-sided limit does not exist (DNE). Example 7 (Revisiting Examples 5 and 6) lim x ± 3 ² x + 3 ( ) = 6 , and lim x ± 3 + x + 3 ( ) = 6 , so lim x ± 3 x + 3 ( ) = 6 ....
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- Fall '10
- Limits, lim, Existence, Logical equality, One-sided limit, Real projective line