CalcNotes0203-page8

# CalcNotes0203-page8 - (Section 2.3 Limits and Infinity I...

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Unformatted text preview: (Section 2.3: Limits and Infinity I) 2.3.8 Example 7 Limit Form x lim 1 3 1 Limit Form 1 =0 x Example 8 (No Limit Form) x lim 1 1 , does not exist (DNE). x1/ 2 , also written as lim x This is because x x is not defined as a real quantity whenever x < 0 . Note: We do not call 1 a Limit Form. (See Footnote 3.) DNE The graph of y = x : The graph of y = 1 : x (Figure 2.3.i) (Figure 2.3.j) Limit Forms and the Limit Properties from Section 2.2 Remember that the sum of (a finite number of) limits equals the limit of the sum, provided the limits exist as real constants. ( ) For example, the Limit Form 2 + 3 Also, () the Limit Form ( 2 3) 1, the Limit Form 2 3 the Limit Form 2 3 6 , and 2 . 3 5. ...
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