1.4 The Idea of ‘Limits’
Limit of the Average velocity = the Instantaneous velocity: The Secant approaches the Tangent (average velocity) (instantaneous velocity)
1.5 The Limit of a Function
The limit exists if and only if “left” limit = “right” limit
Example where limit does not exist: “Jump” behavior As x → 2: Left limit? Right limit?
Example where limit does not exist: undefined behavior near 0
Infinite Limits (When x approaches a number, f(x) approaches infinity)
or Limits at Infinity (x approaches infinity, f(x) approaches a finite limit L, or infinity)