14.1
Vertical trace:
Vertical trace:
Horizontal trace:
Level curve:
Contour map
A contour map is a plot in the domain in the xy-plane that the level curves
for equally spaced values of
Contour interval
The difference between two consecutive values of
.
14.2 - Limit and Continuity
Limits
Limit Laws
Assume thatand exist.
, k is a scalar - If
, then
Squeeze Theorem
If
and then
Continuity
A function
is continuous at if
We sayis continuous if it is continuous at every point in the domain.
Remark: Elementary functions are continuous
polynomials:
trig functions:
logarithm:
exponential:
Remark: All sums, scalar multiples, quotients, and products of continuous functions are still continuous
Remark: Compositions of continuous functions are continuous