calc chp 2.4.pdf

Lim x x ln x x 2 answers submitted correct correct

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lim x 0 + x ln ( x + x 2 ) Answer(s) submitted: 0 (correct) Correct Answers: 0 8. (1 point) Evaluate lim θ 0 sin2 θ sin7 θ θ 2 . Limit: Answer(s) submitted: 14 (correct) Correct Answers: 2*7 9. (1 point) For what value of the constant c is the function f continuous on the interval ( - , ) . f ( x ) = ( x 2 - 6 , x c 6 x - 15 , x > c c = Answer(s) submitted: 3 (correct) Correct Answers: 3 10. (1 point) For the function f graphed below, find the fol- lowing limits: 1. lim x →- 3 - f ( x ) = help (limits) 2. lim x →- 3 + f ( x ) = 3. lim x →- 1 f ( x ) = 4. lim x f ( x ) = 5. lim x →- f ( x ) = Note: You can click on the graph to enlarge the image. Answer(s) submitted: inf -inf inf NONE NONE (incorrect) Correct Answers: infinity -infinity infinity -3 1 11. (1 point) Use the given graph of the function f to deter- mine the type of discontinuity at each x -value. choose one removable jump infinite 1. What type of discontinuity does f have at x = - 4? choose one removable jump infinite 2. What type of discontinuity does f have at x = - 2? choose one removable jump infinite 3. What type of discontinuity does f have at x = 2? 2

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choose one removable jump infinite 4. What type of discontinuity does f have at x = 4? Note: You can click on the graph to enlarge the image. Answer(s) submitted: infinite removable removable jump (correct) Correct Answers: infinite removable removable jump 12. (1 point) Use continuity to evaluate the following limit lim x π cos ( x + sin ( x )) . Limit: Answer(s) submitted: -1 (correct) Correct Answers: cos(pi+sin(pi)) 13. (1 point) Evaluate the following limit. If the answer is positive infinite, type ”I”; if negative infinite, type ”N”; and if it does not exist, type ”D”.
• Fall '13
• DrSulllivan
• Continuous function, Limit of a function, lim c

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