CalcNotes0201-page13

CalcNotes0201-page13 - at x = 3 . Nevertheless, even though...

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(Section 2.1: An Introduction to Limits) 2.1.12 PART C: THERE DOESN’T HAVE TO BE A “POINT”! “IGNORE a ” THEOREMS Example 9 (Modifying Examples 5-7) Let gx () = x + 3, x ± 3 () . We are removing 3 from the domain of the function from Examples 5-7. (Figure 2.1.g) The point 3, 6 () is no longer on the graph. Instead, we have a hole; later, we will say that there is a removable discontinuity
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Unformatted text preview: at x = 3 . Nevertheless, even though g 3 ( ) is now undefined, the following statements are true: lim x 3 g x ( ) = 6 , lim x 3 + g x ( ) = 6 , and lim x 3 g x ( ) = 6 . In Examples 5-7, the limit value was attained by the function at x = 3 . Here, it is not!...
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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