Test 1 covers the following objectives:
- State and explain the informal definition of limit.
- Estimate limits graphically and numerically.
- State and explain, with examples, the ways limits may fail to exist.
- Estimate and evaluate one-sided limits.
- Use one-sided limits to justify that a limit does not exist.
- Determine one-sided and two-sided infinite limits.
- Find and sketch the vertical asymptotes of the graph of a function.
- Use limit laws to evaluate limits.
- Use substitution to evaluate limits.
- Use algebraic techniques to resolve 0/0 indeterminate forms.
- Use the squeeze theorem to evaluate limits.
- Use trigonometric techniques to resolve 0/0 indeterminate forms.
- Use the definition of continuity to determine if a function is continuous at a point.
- Use the properties of continuity to determine if a function is continuous at a point or on an interval.
- Classify discontinuities.
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