Exam 11: Limits and Continuity

The solution of ≥ 0 is

The revenue function for a certain product is given by R(x)= 500x - .Find R(x).

Solve the inequality: > 0.

The rate of change of productivity p (in number of units produced per hour)increases with time on the job by the function p = .Find p.

Find: .If the limit does not exist,so state or use the symbol ∞ or -∞ if appropriate.

If f(x)= 3x - 4,find by treating x as a constant.

Find:

=

The cost of purifying water is given by C = - 1250 where C is the cost in dollars and p is the percent of impurities left in the water after purification.Find .

Find: Find

=

Find the following limit.If it is +∞ or -∞ or does not exist,then say so.

=

Find all points where y = f(x)= is discontinuous.

Find: f(x)

Find the value(s)of x for which f(x)= is discontinuous.

The cost C of producing x units of a certain product is given by Use your graphing calculator to explore and discuss what this means.

Find: f(x)

=

Find: f(x)