CalcNotes0203-page6

CalcNotes0203-page6 - (Section 2.3: Limits and Infinity I)...

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(Section 2.3: Limits and Infinity I) 2.3.6 PART D: THE LIMIT FORMS 1 ± AND 1 ² ± Review Example 1 on fx () = 1 x : (Figure 2.3.f) x ±²³ ± 100 ± 10 ± 1 1 10 100 ±² = 1 x 0 ± ± 1 100 ± 1 10 ± 1 1 1 10 1 100 ± 0 We concluded: lim x 1 x = 0 , and lim x 1 x = 0 . We can also write: 1 x ± 0 as x , and also as x . More generally, it is true that, for functions N and D , Nx Dx ± 0 if ± 1, and ³ ´ µ . This is true whether we are considering all of the indicated limits as x , as x , or as
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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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