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Unit 6: Real functions: Limits and continuity
Unit Outline:
5.1: Limits of functions
Course Reader:
Introduction to Limits (mathbff):
How to Find A Limit (mathbff):
Precise definition of a limit (MySecretMathTutor):
Limits - Essence of calculus (3Blue1Brown):
5.2: Additional real function limit concepts
Course Reader:
Limits at infinity (KristaKing):
Limits at positive and negative infinity (Khan Academy):
One-sided limits from graphs (Khan Academy):
Infinite Limits & Vertical Asymptotes (ProfRobBob):
5.3: Multivariate limits
Course Reader:
Multivariable Calculus: Showing a Limit Does NOT Exist (PatrickJMT):
Precise definition of the limit for multivariable functions (KristaKing)
5.4: Continuity
Course Reader:
Limits to define continuity (Khan Academy):
5.5: Intermediate value theorem
Course Reader:
Intermediate value theorem to prove a root in an interval (Krista KingMath)
Fix a Wobbly Table (Numberphile)
Bisection Method (MathDoctorBob):