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Unformatted text preview: etc.) or the names of the laws (sum law, di ï¬€ erence law, etc.) lim x â†’ 1 Â± 1 + 3 x 1 + 4 x 2 + 3 x 4 Â² 3 2. ( Â§ 2.3, # 10) (a) What is wrong with the following equation? x 2 + x6 x2 = x + 3 1 (b) In view of part (a), explain why the equation lim x â†’ 2 x 2 + x6 x2 = lim x â†’ 2 ( x + 3) is correct. 3. ( Â§ 2.4, #19) Prove the statement using the Îµ,Î´ function of limit. lim x â†’ 3 x 5 = 3 5 . Hint: Mimic Example 2 on P90. 4. ( Â§ 2.5, #17) Explain why the function is discontinuous at the given number a . Sketch the graph of the function. f ( x ) = 1x 2 if x < 1 1 / x if x â‰¥ 1 , where a = 1 . 2...
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This note was uploaded on 12/03/2010 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas at Austin.
 Fall '06
 McAdam
 Calculus

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