Practice Final (Quarter Size)

# Practice Final - Nanda Gagan Homework 2 Due Sep 2 2004 3:00 am Inst R Gompf 4 I III only 5 each of I III 6 I II only 009(part 1 of 2 10 points(i

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Nanda, Gagan – Homework 2 – Due: Sep 2 2004, 3:00 am – Inst: R Gompf 3 4. I, III only 5. each of I, III 6. I, II only 009 (part 1 of 2) 10 points (i) Which of the following statements is true for all values of c ? I. lim x c f ( x )=0= lim x c | f ( x ) | =0 . II lim x c | f ( x ) | =0= lim x c f ( x )=0 . 1. both I and II 2. II only 3. neither I nor II 4. Io n l y 010 (part 2 of 2) 10 points (ii) Which of the following statements is true for all c and all L ? I. lim x c f ( x )= L = lim x c | f ( x ) | = | L | . II. lim x c | f ( x ) | = | L | = lim x c f ( x L. 1. II only 2. n l y 3. both I and II 4. neither I nor II 011 (part 1 of 1) 10 points Below is the graph of a function f . 246 2 4 6 2 4 6 8 2 4 Use the graph to determine lim x 4 f ( x ). 1. lim x 4 f ( x )=12 2. lim x 4 f ( x )=6 3. lim x 4 f ( x )=4 4. lim x 4 f ( x )=9 5. lim x 4 f ( x ) does not exist 012 (part 1 of 1) 10 points Below is the graph of a function f . Nanda, Gagan – Homework 2 – Due: Sep 2 2004, 3:00 am – Inst: R Gompf 4 2 4 6 2 4 6 8 2 4 Use the graph to determine lim x →− 3 f ( x ). 1. lim x 3 f ( x )=8 2. lim x 3 f ( x 3. lim x 3 f ( x )=1 4. lim x 3 f ( x ) does not exist 5. lim x 3 f ( x 013 (part 1 of 1) 10 points Below is the graph of a function f . 2 4 6 2 4 6 8 2 4 Use the graph to determine the right hand limit lim x 3+ f ( x ) . 1. lim x 3+ f ( x 4 2. the limit does not exist 3. lim x 3+ f ( x 4. lim x 3+ f ( x 7 2 5. lim x 3+ f ( x 014 (part 1 of 1) 10 points Belowisthegraphofafunction f . 2 4 6 2 4 6 8 2 4 Use the graph to determine the left hand limit lim x 3 f ( x ) . 1. lim x 3 f ( x 3 2 2. lim x 3 f ( x 3. lim x 3 f ( x )=3 4. lim x 3 f ( x 4 Nanda, Gagan – Homework 3 – Due: Sep 9 2004, 3:00 am – Inst: R Gompf 5 exists, and if it does, Fnd its value. 1. limit does not exist 2. limit = 6 3. limit = 7 4. limit = 6 5. limit = 7 020 (part 1 of 1) 10 points ±ind the value of lim x 0 x 16 + 3 x 4 . 1. limit = 3 8 2. limit = 4 3 3. limit = 3 4 4. limit = 0 5. limit = 8 3 6. limit = 021 (part 1 of 1) 10 points If the graph of f is 2 4 6 8 10 12 2 4 6 8 2 4 6 Fnd the value of the left hand limit lim x 9 x 9 | x 9 | f ( x ) . 1. limit does not exist 2. limit = 3 3. limit = 5 4. limit = 4 5. limit = 3 6. limit = 4 022 (part 1 of 1) 10 points Determine if the limit lim x 4+ 5 | x 4 | x 2 +3 x 28 exists, and if it does, compute its value. 1. limit = 5 11 2. limit = 5 11 3. limit does not exist Nanda, Gagan – Homework 4 – Due: Sep 16 2004, 3:00 am – Inst: R Gompf 3 Use this graph to determine all the values of x on ( 7 , 7) at which f is discontinuous. 1. x = 1 , 1 2. none of these 3. x =1 4. x = 1 5. no values of x 009 (part 1 of 1) 10 points Find all values of x at which the function f de±ned by f ( x 2 1 cos x fails to be continuous.

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## This note was uploaded on 02/28/2010 for the course M 56200 taught by Professor Radin during the Fall '09 term at University of Texas at Austin.

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Practice Final - Nanda Gagan Homework 2 Due Sep 2 2004 3:00 am Inst R Gompf 4 I III only 5 each of I III 6 I II only 009(part 1 of 2 10 points(i

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