Key Takeaways
Lesson Description
Key Takeaways
• A limit describes the value a function approaches as x approaches a point.
• Limits can be evaluated graphically, numerically, algebraically, or analytically.
• A function is continuous if there are no breaks, holes, or jumps.
• Types of discontinuities include removable, jump, and infinite discontinuities.
• The Intermediate Value Theorem (IVT) guarantees a function reaches every value between two endpoints if it is continuous.
Must Know Equations
lim (x→a) f(x)
Continuity:
lim(x→a)f(x)=f(a)
Must Know Vocabulary
Limit
Continuity
One-sided Limit
Infinite Limit
Removable Discontinuity
Jump Discontinuity
Intermediate Value Theorem
AP Exam Focus
• Evaluate limits graphically and algebraically.
• Identify discontinuities.
• Apply the Intermediate Value Theorem.