[C, CN, ME, PS, R, T, V]
| (a) |
Develop and explain the meaning of a limit. |
| (b) |
Explain the difference between the limit of a function and the value of a function. |
| (c) |
Critique the statement, “If a function has a limit of L as x approaches a, then as x-values get close to a, the y-values of the function will get progressively closer to L.” |
| (d) |
Determine the value of a limit and express the value using limit notation when given:
|
| (e) |
Analyze the graph of a function to determine if it is continuous. |
| (f) |
Analyze the equation of a function to determine if it continuous. |
| (g) |
Develop, explain, and apply strategies for determining if a function is continuous at a given point. |
| (h) |
Develop, explain, and apply strategies for determining the type of discontinuity (removable, jump, or infinite) when given:
|
| (i) |
Develop, explain, and apply strategies (e.g., direct substitution, factoring, simplifying, rationalizing) to determine limits, at real numbers and infinity, of functions including absolute value, root, and piecewise. |
| (j) |
Identify the conditions under which a limit does not exist. |
