Test 1 covers the following objectives:

Section 2.2

1. State and explain the informal definition of limit.
2. Estimate limits graphically and numerically.
3. State and explain, with examples, the ways limits may fail to exist.
4. Estimate and evaluate one-sided limits.
5. Use one-sided limits to justify that a limit does not exist.
6. Determine one-sided and two-sided infinite limits.
7. Find and sketch the vertical asymptotes of the graph of a function.

Section 2.3

1. Use limit laws to evaluate limits.
2. Use substitution to evaluate limits.
3. Use algebraic techniques to resolve 0/0 indeterminate forms.
4. Use the squeeze theorem to evaluate limits.
5. Use trigonometric techniques to resolve 0/0 indeterminate forms.

Section 2.4

1. Use the definition of continuity to determine if a function is continuous at a point.
2. Use the properties of continuity to determine if a function is continuous at a point or on an interval.
3. Classify discontinuities.