# Unit One: Limits and Continuity

Before you tackle this unit you should take the time to review your precalculus. Make sure your algebra and trigonometry skills are up to par, or else you may find yourself confused before you actually get to any calculus.

Limits are essential to differentiation. In this section, we develop the concept of the limit and continuity. The limit can be looked very formally, or very informally. We'll try to take some sort of middle ground.

### Objectives

• Review precalculus concepts
• Limits
• Get an intutive feel for limits
• Read and understand the formal definition of the limit
• Learn methods for evaluating limits
• Look at the special trig limits
• Continuity
• Relate continuity to limits
• Get an intuitive feel for continuity
• Read and understand the formal definition of continuity

### Suggested Procedure

• Simmons, first edtiton
• Chapter 1
• Section 2.5
• Appendix C, sections 1-3 (optional)
• Simmons, second edition
• Chapter 1
• Section 2.5 and 2.6 (just the part about continuous functions)
• Appendix A, sections 1-3
• World Web Math
• Do Problems in Simmons
• 1.6 : #5
• 1.7 : #7, 9, 11, 13
• 1.8 : #1
• 2.5 : # 3, 7, 11, 17, 18, 19
• Take the Practice Unit Test, Xdvi or PDF.