Math121Quiz1Sols

Math121Quiz1Sols - QUIZ#1(SECTIONS 2.1 2.2 2.3 SOLUTIONS...

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QUIZ #1 (SECTIONS 2.1, 2.2, 2.3) SOLUTIONS MATH 121 – FALL 2003 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% PART 1 (NO CALCULATORS!): 82 points 1) These instructions apply to questions a) through i): Find the following limits without making a table. Write or -• when appropriate. If a limit does not exist, and and are inappropriate, write “DNE”. Box in your final answers. (16 points total) a) lim x x xx Æ - +- 2 2 2 28 (6 points) = - + () - Æ lim x x 2 2 42 We can cancel the x - 2 factors. = + Æ lim x x 2 1 4 Now, use direct substitution. = () + = 1 24 1 6 b) lim x x x Æ + - 2 3 4 (3 points) (Direct substitution works, since 2 is in the domain of this rational function.) = () - = - =- 23 5 2 5 2
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For problems c) through f), refer to the graph of f below. Answer only is fine. c) lim x fx Æ - () 3 (1 point) = 2 (left-hand limit) d) lim x Æ + 3 (1 point) = 1 (right-hand limit; it doesn't matter that the point (3,1) is deleted) e) lim x Æ 3 (1 point) DNE (because the left-hand and right-hand limits do not match up) f) lim x Æ 6 (1 point) = 4 For problems g) through i), refer to the graph of the rational function f below.
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This note was uploaded on 09/08/2011 for the course MATH 121 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math121Quiz1Sols - QUIZ#1(SECTIONS 2.1 2.2 2.3 SOLUTIONS...

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