1.2 Finding Limits Graphically and Numerically
Intro to Limits
Informal Definition--If f(x) becomes arbitrarily close to a single number L as x approaches c from either side,
the limit of f(x), as x approaches c, is L.
The existence or nonexistence of f(x) at x=c has no bearing on the
existence of the limit of f(x) as x approaches c!!!
Three-pronged approach:
1). Numerical approach-construct table of values
2). Graphical approach
3). Analytic approach-use algebra or calculus
Common Types of Behavior Associated with Nonexistence of Limits
1) f(x) approaches a difference number from the right side of c than it approaches from the left side
2) f(x) increases or decreases without bound as x approaches c
3) f(x) oscillates between two fixed values as x approaches c
Assignment: #1, 7, 15-24, 26, 27, 29, 30, 32