qa_prac_F2007 - ◦ g )( x )-h ( x ) g ( x )] is: (A) 1 2 ....

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M408C Practice problems for Quiz A Directions . Circle the letter of the correct answer (only one) for each problem. 1) Which one of the following statements is true ? (A) If lim x c f ( x ) exists, then it is equal to f ( c ). (B) lim x π/ 3 x csc( x + π 3 ) = 2 π 3 3 . (C) If lim x c h ( x ) and lim x c g ( x ) exist, then lim x c h ( x ) g ( x ) exists. (D) lim x 3 x - 3 x 2 5 - x = 12. 2) The set of all x which satisfy | 2 x - 1 | ≤ 5 is: (A) ( - 2 , 3). (B) ( -∞ , - 2] [3 , ). (C) [ - 2 , ). (D) [ - 2 , 3]. (E) ( -∞ , 3]. 3) Using the given graphs the value of lim x 2 + [ f ( x ) g ( x )] is: 0 0 x 0 1 2 4 3 y 1 2 3 x 0 1 2 4 3 y 1 2 3 y = f(x) y = g(x) (A) 6. (B) 0. (C) 1. (D) 2. (E) 5. 4) Which of the following types of functions is guaranteed to have a domain equal to ( -∞ , ): (A) trigonometric. (B) power. (C) polynomial. (D) rational. (E) none of these. 5) lim x 0 sin(2 x ) 3 x cos( x + π 4 ) = (A) 3 2 2 . (B) 2 6 . (C) 1 2 . (D) 2 2 3 . (E) does not exist. 6) If 3 f ( x ) 4 x 2 - x tan( πx/ 4) for all x around x = 1, then the value of lim x 1 - f ( x ) is: (A) 0. (B) 3. (C) 1. (D) 6. (E) not enough information to determine.
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7) If g ( x ) = 2 x + 1 and h ( x ) = 3 x - 1, then lim x 1 [( h
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Unformatted text preview: ◦ g )( x )-h ( x ) g ( x )] is: (A) 1 2 . (B) 2. (C)-1 2 . (D)-2. (E) 1. 8) lim x → 3 sin x 2-2 cos x = (A) 3 2 . (B) 2 3 . (C)-3 2 . (D)-2 3 . (E) does not exist. 9) lim t → 3 b 1 t 2-3 t-2 t 2-9 B = (A) 0. (B)-1 9 . (C)-1 18 . (D) 1. (E) 1 3 . 10) Let a n = 0 be a constant. Then the value of lim x → 3 ax csc( ax ) x + a 2 is: (A) a 3 . (B) 3 a 2 . (C) 2 a . (D) a 2 6 . (E) 6 a 2 . 11) lim x → √ x + 1-1 x = (A)-1 (B) 1. (C) 1 2 . (D)-1 2 . (E) does not exist. 12) Suppose that lim x → c-f ( x ) and lim x → c + f ( x ) both exist but are unequal. Which of the following statements best describes the graph of f ( x ) at c . (A) It has an asymptote at x = c . (B) It is connected at x = c . (C) It is disconnected at x = c . (D) It is undeFned at x = c ....
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This note was uploaded on 03/20/2008 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas at Austin.

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qa_prac_F2007 - ◦ g )( x )-h ( x ) g ( x )] is: (A) 1 2 ....

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