CalcNotes0201-page19

CalcNotes0201-page19 - (Section 2.1: An Introduction to...

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(Section 2.1: An Introduction to Limits) 2.1.18 PART D: MORE EXAMPLES OF LIMITS THAT DO NOT EXIST (DNE) Example 12 Let fx () = sin 1 x ± ² ³ ´ µ . Evaluate lim x ± 0 ² , lim x ± 0 + , and lim x ± 0 . (Figure 2.1.j) As x approaches 0 from the left or from the right, the function values oscillate between ± 1 and 1. They do not approach a single real constant as x approaches 0 from the left, nor from the right. Therefore, lim x ± 0 ² does not exist (DNE),
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