HINTS FOR HOMEWORK PROBLEMS FROM CHAPTER 1

Section 1.2

• (4) See the examples on page 5.
• (6), (7), (8) See Examples 1.2.8 and 1.2.16.
• (10) See Examples 1.2.16 (5).
• (13) See the bottom of page 7 and page 8.
• (16) See Examples 1.2.24.
• (20) See Examples 1.2.26.
• (23) See Examples 1.2.27.
• (25) See Examples 1.2.32.
• (26) See Examples 1.2.36 and 1.2.40.
• (28) See the bottom of page 15.
• (30) See Examples 1.2.47.

Section 1.3

• (1) See Examples 1.3.4.
• (7b), (7c), (8a), (8c) See Examples 1.3.9.
• (14c), (14f) See Examples 1.3.12.
• (15b), (15e) See Examples 1.3.13.
• (21a), (21c), (21d), (21f), (25a), (25e) See Examples 1.3.18.
• (26) See Examples 1.3.24.
• (30a), (30c), (30e) See Examples 1.3.31.

Section 1.4

• (2), (3) See Examples 1.4.5.
• (4a), (4b) See Examples 1.4.7.
• (6a), (6f), (6h) See Examples 1.4.10.
• (7c) See Examples 1.4.16.
• (13) See the displayed formulas (1.4.11).
• (21c) See the bottom of page 42.
• (23a), (23f) See pages 42 to 44.
• (25a), (25b), (25c) See Examples 1.4.35 (1), (2).
• (26a), (26c) See Examples 1.4.38 (1), (2).
• (27d) See Example 1.4.43 (1).
• (28a), (28c), (28d), (28h) See Examples 1.4.35 (3), (4), Examples 1.4.38 (3), (4) and Example 1.4.43 (4).
• (29e) See Example 1.4.38 (5).

Section 1.5

• (2) Use an intuitive understanding of limits.
• (3), (4a), (4c), (4d), (4e), (5a), (6b) See Examples 1.5.3.
• (7a), (7e), (7g) See Figures 1.5.8 and 1.5.19.
• (8a), (8d) See Figures 1.5.7 and 1.5.28.
• (9b), (10a) See Examples 1.5.12.
• (12a), (12c), (12f) See Examples 1.5.17.
• (13b) See Examples 1.5.22.
• (15a), (15c), (15d) See Examples 1.5.27.

Section 1.6

• (1a), (1e), (2a), (2f) See page 72.
• (3a), (3h) See the bottom of page 73.
• (4a), (4e) See the top of page 74.
• (10) See Examples 1.6.3.
• (25) See Examples 1.6.3 and use Property 6.
• (30), (36) See Examples 1.6.5.
• (45) Use the Pinching Theorem.
• (50), (52) See Example 1.6.12 (1).
• (53) Use a Pythagorean Identity to simplify the numerator.
• (55) See Example 1.6.12 (3).
• (63) See Examples 1.6.12 (2), (3).
• (70) Divide numerator and denominator by sine theta.

Section 1.7

• (1) See Examples 1.7.6 and 1.7.14.
• (4), (11), (16) See Examples 1.7.14.
• (24), (29) See Examples 1.7.18.
• (37a), (37c) See Examples 1.7.23.
• (39a), (39b), (39d), (39f) Check the hypotheses of the Intermediate Value Theorem 1.7.19.
• (40a), (40e) See Examples 1.7.27 (1), (3).
• (41a) See Example 1.7.27 (2).
• (44) Use the Intermediate Value Theorem.
• (46a), (46b), (46c) See Examples 1.7.43.
• (47a), (47e), (47f) Check the hypothesesof the Maximum Value Theorem 1.7.42.