CHAPTER 1 Limits and Their Properties divide 1.1 A Preview of calculus . . . . . . . . . . . . . . . . . . . 305 element 1.2 conclusion Limits Graphically and Numerically . . . . . . . 305 Section 1.3 Evaluating Limits Analytically . . . . . . . . . . . . . . . 309 Section 1.4 persistency and One-Sided Limits Section 1.5 Infinite Limits Review Exercises . . . . . . . . . . . . . 315 . . . . . . . . . . . . . . . . . . . . . . . 320 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324 problem solve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327 CHAPTER 1 Limits and Their Properties Section 1.1 A Preview of Calculus Solutions to Even-Numbered Exercises 2. Calculus: velocity is non constant Distance 4. Precalculus: rate of transport 20 ft sec 15 seconds 6. Precalculus: Area 2 slope 0.08 three hundred feet 2 8. Precalculus: Volume 3 26 54 2 10. (a) Area 5 2 5 5 4 5 2 5 1.5 1 5 2 Area 5 3 10.417 5 2.5 5 3 5 3.5 5 4 5 4.5 9.145 (b) You could improve the approximation by using to a greater extent than rectangles. Section 1.2 2. Finding Limits Graphically and Numerically x 1.9 1.99 1.999 2.001 2.01 2.1 fx 0.2564 0.2506 0.2501 0.2499 0.2494 0.2439 lim x?2 4. x x2 2 4 veridical demarcate is 1 . 4 0.25 x 3.1 3.01 3.001 2.999 2.99 2.
9 fx 0.2485 0.2498 0.2500 0.2500 0.2502 0.2516 lim x? 3 6. 1 x x2 3 0.25 Actual limit is 1 ! 4. x 3.9 3.99 3.999 4.001 4.01 4.1 fx 0.0408 0.0401 0.0400 0.0400 0.0399 0.0392 lim xx x?4 8. 1 x 45 4 0.04 1 Actual limit is 25 . x 0.1 0.01 0.001 0.001 0.01 0.1 fx 0.0500 0.0050 0.0005 0.0005 0.0050 0.0500 lim x?0 cos x x 1 0.0000 (Actual limit is 0.)...If you privation to get a honorable essay, order it on our website: OrderCustomPaper.com
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