C012_finalF03 - 1. Simplify: ln5x [A] 5 + lnx [B] 5lnx [C]...

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1. Simplify: ln5 x [A] 5 + ln x [B] 5ln x [C] ln ln 5 - x [D] ln ln 5 + x 2. Find the equivalent of log 2 x in terms of the natural logarithm. [A] x 2 ln [B] ln ln 2 x [C] ln ln2 x - [D] ln ln x 2 3. Find the limit. ( 29 [ ] 6 2 lim 2 2 + + - x x x [A] 2 [B] – 6 [C] –14 [D] None of these 4. Find the limit (if it exists). lim x x x x - - + 4 2 4 9 20 [A] 9
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- 1 5 [C] - 1 [D] The limit does not exist. 5. Determine where 9 8 4 ) ( 2 - - - = x x x x f is continuous. [A] at all x except x = – 9 and x = 1 [B] at all x except x = 9 and x = –1 [C] at all x except x = 4, x = 9, and x = –1 [D] at all x except x = , 4 x = , 9 and x = 1 6. Find any x -values where the following function is discontinuous. 4 8 ) ( 2 3 - - = x x x f [A] The function is discontinuous at x = 2. [B] The function is discontinuous at x = . 2 [C] The function is discontinuous at x = 2 and x = . 2 [D] The function is discontinuous at x = 4 and x = . 4 7. (SKIP this problem ) Find the limit as n → ∞ . [A]
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C012_finalF03 - 1. Simplify: ln5x [A] 5 + lnx [B] 5lnx [C]...

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