Solutions Manual for Calculus: Early Transcendentals 11e by Howard Anton, Irl Bivens, Stephen Davis (All Chapters)

Solutions Manual for d d d




Calculus Early Transc
d d




endentals 11e Howard
d d d




Anton, Irl Bivens, Step
d d d




hen Davis (All Chapter
d d d




s)

,Limits and Continuity d d




Exercise Set 1.1
d d



1. (a)d d 3 (b)d d 3 (c)d d 3 (d)d d 3

2. (a)d d 0 (b)d d 0 (c)d d 0 (d)d d 0

3. (a)d —1 (b)d d 3 (c)d doesd notd exist (d)d d 1

4. (a)d d 2 (b)d d 0 (c)d doesdnotdexist (d)d d 2

5. (a)d d 0 (b)d d 0 (c)d d 0 (d)d d 3

6. (a)d d 1 (b)d d 1 (c)d d 1 (d)d d 0

7. (a)d —∞ (b)d —∞ (c)d —∞ (d)d d 1

8. (a)d d +∞ (b)d d +∞ (c)d d +∞ (d)d cand notd bedfounddfromdgraph

9. (a)d +∞ (b)d +∞ (c)d 2 (d)d 2 (e)d —∞ (f)d xd=d—2,d xd=d0,d xd=d2

10. (a)d doesd notd exist (b)d —∞ (c)d d 0 (d)d —1 (e)d +∞ (f)d d 3 (g)d xd =d—2,d xd=d2

11. (i) —0.1 —0.01 —0.001 0.001 0.01 0.1
1.9866933 1.9998667 1.9999987 1.9999987 1.9998667 1.9866933

2.




1.98-6d0.1 0.1
(ii) Thed limitd appearsd tod bed 2.

12. (i) —0.5 —0.05 —0.005 0.005 0.05 0.5
—0.489669752 —0.499895842 —0.499998958 —0.499998958 —0.499895842 —0.489669752

-0.4896698




-0.5
-0.5 0.5
(ii) Thed limitd appearsd tod bed —1/2.

1

,2 Chapterd1


13. (a) 2 1.5 1.1 1.01 1.001 0 0.5 0.9 0.99 0.999
0.1429 0.2105 0.3021 0.3300 0.3330 1.0000 0.5714 0.3690 0.3367 0.3337

1




0 2
0 Thed limitd isd 1/3.


(b) 2 1.5 1.1 1.01 1.001 1.0001
0.4286 1.0526 6.344 66.33 666.3 6666.3

50




1 2
0 Thed limitd isd +∞.


(c) 0 0.5 0.9 0.99 0.999 0.9999
—1 —1.7143 —7.0111 —67.001 —667.0 —6667.0

0
0 1




-50 Thed limitd isd —∞.


14. (a) —0.25 —0.1 —0.001 —0.0001 0.0001 0.001 0.1 0.25
0.5359 0.5132 0.5001 0.5000 0.5000 0.4999 0.4881 0.4721

0.6




-0.25 0.25
0 Thed limitd isd 1/2.


(b) 0.25 0.1 0.001 0.0001
8.4721 20.488 2000.5 20001

, ExercisedSetd1.1 3

100




0 0.25
0 Thedlimitdisd+∞.

(c) —0.25 —0.1 —0.001 —0.0001
—7.4641 —19.487 —1999.5 —20000
0
-0.25 0




-100 Thed limitd isd —∞.

15. (a) —0.25 —0.1 —0.001 —0.0001 0.0001 0.001 0.1 0.25
2.7266 2.9552 3.0000 3.0000 3.0000 3.0000 2.9552 2.7266
3




-0.25 0.25
2 Thed limitd isd 3.

(b) 0 —0.5 —0.9 —0.99 —0.999 —1.5 —1.1 —1.01 —1.001
1 1.7552 6.2161 54.87 541.1 —0.1415 —4.536 —53.19 —539.5
60




-1.5 0




-60 Thed limitd doesd notd exist.

16. (a) 0 —0.5 —0.9 —0.99 —0.999 —1.5 —1.1 —1.01 —1.001
1.5574 1.0926 1.0033 1.0000 1.0000 1.0926 1.0033 1.0000 1.0000
1.5




-1.5 0
1 Thed limitd isd 1.