(Section 2.1: An Introduction to Limits) 2.1.13 fa()may or may not be relevant to limx±afxThe existence of limx±adoes notrequire the existence of . (See Example 9.) Even if exists, limx±acould be a different value, or it might not exist at all. (See Example 10.) If limx±a=, thenfis continuousat a, as it was in Examples 5-7 for a=3; we will discuss continuity later. Example 10 (Modifying Example 9)Let the function hbe defined piecewise as follows:
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