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1. Complete the table of values to determine the limits of the function. f(x) = = -1-0.5 -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 0.5 1 f(x) a. lim (-) X-0" b. lim (-) c. lim -) X-0

1. Complete the table of values to determine the limits of the function. f(x) = = -1-0.5 -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 0.5 1 f(x) a. lim (-) X-0" b. lim (-) c. lim -) X-0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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BLEM SET. "LET'S TRY!" LIMIT PROBLEMS is fime you are very much prepared to accomplish the final assessment for this module. You go back to page 1, "Let's Prepare" for the reminders and rubrics and be able to apply the skills learned in the lessons given. Use the space provided after the word problems. 1. Complete the table of values to determine the limits of the function. f(x) = - -1 -0.5 -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 0.5 1 f(x) a. lim (-) b. lim (-) X-0- C. lim -) X-0 X-0 x² -4x+3' lim X-1 2. Evaluate: 与() x2-1 3x2+13x+12) 3. Determine if the limit exist by graphing: X--3 x+3 x²-4x+3 lim -1) 4. Evaluate the limit of the function: X--1 5. Determine if the limit exist by graphing: lim X--3 2x2+5x+2is 6. Apply the three conditions of continuity to determine if the function f(x) = %3D x2-x-12 continuous at x = -2. %3D 7. Explain why the following functions are discontinuous at x = 2. a. f(x) = Vx – 2 %3D b. f(x) = %3D X-2 8. Determine the left-hand limit of the function. lim X-2- 2 - X
Transcribed Image Text:BLEM SET. "LET'S TRY!" LIMIT PROBLEMS is fime you are very much prepared to accomplish the final assessment for this module. You go back to page 1, "Let's Prepare" for the reminders and rubrics and be able to apply the skills learned in the lessons given. Use the space provided after the word problems. 1. Complete the table of values to determine the limits of the function. f(x) = - -1 -0.5 -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 0.5 1 f(x) a. lim (-) b. lim (-) X-0- C. lim -) X-0 X-0 x² -4x+3' lim X-1 2. Evaluate: 与() x2-1 3x2+13x+12) 3. Determine if the limit exist by graphing: X--3 x+3 x²-4x+3 lim -1) 4. Evaluate the limit of the function: X--1 5. Determine if the limit exist by graphing: lim X--3 2x2+5x+2is 6. Apply the three conditions of continuity to determine if the function f(x) = %3D x2-x-12 continuous at x = -2. %3D 7. Explain why the following functions are discontinuous at x = 2. a. f(x) = Vx – 2 %3D b. f(x) = %3D X-2 8. Determine the left-hand limit of the function. lim X-2- 2 - X
IVITY 4. CONTINUITY Determine if the following functions are confinuous at a given value of x. Show your solutions inside the box. 1. f(x) 9x-4 at x = 1 2. f(x) =at x = -2 %3D x+3 3. f(x) at x = -3 %3D x2+5x+6 4. f(x) = Vx at x = 7 Page 23 of 26
Transcribed Image Text:IVITY 4. CONTINUITY Determine if the following functions are confinuous at a given value of x. Show your solutions inside the box. 1. f(x) 9x-4 at x = 1 2. f(x) =at x = -2 %3D x+3 3. f(x) at x = -3 %3D x2+5x+6 4. f(x) = Vx at x = 7 Page 23 of 26
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