CalcNotes0201-page14

CalcNotes0201-page14 - (Section 2.1: An Introduction to...

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(Section 2.1: An Introduction to Limits) 2.1.13 fa () may or may not be relevant to lim x ± a fx The existence of lim x ± a does not require the existence of . (See Example 9.) Even if exists, lim x ± a could be a different value, or it might not exist at all. (See Example 10.) If lim x ± a = , then f is continuous at a , as it was in Examples 5-7 for a = 3 ; we will discuss continuity later. Example 10 (Modifying Example 9) Let the function h be defined piecewise as follows:
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