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- Title: w2
- Type: Notes
- School: UT Arlington
- Course: MATH 1426
- Term: Fall
Coursehero >> Texas >> UT Arlington >> MATH 1426
Path: UT Arlington >> MATH >> 3300 Fall, 2008
Path: UT Arlington >> MATH >> 3300 Fall, 2008
Path: UT Arlington >> MATH >> 3300 Fall, 2008
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Path: UT Arlington >> CSE >> 1105 Fall, 2008
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1426 Math Spring 2006 Lab 2 For week beginning 1-23-06 Use the graphs of the functions f and g given below to answer questions 1 and 2. 1. Find each of the following limits, explaining your reasoning. If a limit does not exist, explain why. a. lim f ( x) x 1 x 1 b. lim f ( x ) c. lim g ( x ) x 1 x 1 d. lim g ( x) e. lim [ f ( x) + g ( x)] f. lim [ 2 f ( x) + 3g ( x)] g. lim [ f ( x) g ( x)] h. lim [ f ( x) g ( x)] x 2 x 1 x 0 x 1 f ( x) i. lim x 0 g ( x ) g ( x) j. lim x 0 f ( x ) x 2 k. lim g ( f ( x) ) l. lim f ( g ( x) ) x 1 Math 1426 Lab 2 Spring 2006 1 2. For each of the limits in problem (1) that did not exist, determine the whether one-sided limits exist. Find each one-sided limit that exists, explaining your reasoning. If a one-sided limit does not exist, explain why. 3. Sketch a graph of each of the functions h, v, and s that satisfy the following conditions. a. lim h( x ) = 10 but h(5) is not defined x 5 b. lim v ( x ) = 3 but v (2) 3 x 2 c. lim s ( x ) does not exist but s (0) = 2 x 0 4. Sketch of a graph of a function which satisfies the given properties. a. lim f ( x) = 0 , f (0) = 10 , lim+ f ( x ) = 1 , lim f ( x ) = 1 , f (1) = 0 x 0 x 1 x 1 b. lim g ( x) = + , lim+ g ( x) = x 2 x 2 c. lim h( x ) = n and h( n) = n + 1 for every integer n x n Math 1426 Lab 2 Spring 2006 2
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