CalcNotes0208-page12

CalcNotes0208-page12 - h is continuous on ± 3,10 ² 10 ³...

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(Section 2.8: Continuity) 2.8.12 Example 11 (Revisiting Example 6 in Chapter 1) Assuming hx () = x + 3 x ± 10 , then what are the continuity intervals of h ? Solution In Chapter 1, we found that Dom h () = ± 3, 10 ² ³ ) ´ 10, µ () . These are also the continuity intervals. By the Algebra of Continuity Theorems, we find that
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Unformatted text preview: h is continuous on ± 3,10 ( ) ² 10, ³ ( ) . lim x ±² 3 + h x ( ) = h ² 3 ( ) , because both sides equal 0. Therefore, h is continuous from the right at ± 3 , and the continuity intervals are: ± 3,10 ² ³ ) ´ 10, µ ( ) . Here is the graph of h : (Figure 2.8.m)...
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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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