Exam 11: Limits and Continuity

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

Find: lim x→3

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

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.

If f(x)= ,find f(x).Hint: Sketch the graph of f.

The cost C of producing x units of a certain product is given by Find C(x)and discuss what this means.

The solution of - 5x - 14 < 0 is

Let f(x)= For each of the following,find the limit.If the limit does not exist,so state or use the symbol ∞ or -∞ where appropriate.Hint: Sketch the graph of f. (a) f(x) (b) f(x) (c) f(x) (d) f(x) (e) f(x)

The revenue function for a certain product is given by R(x)= 500x - .Graph this function in the window × .Use TRACE to estimate R(x).

Solve the inequality: < 0.

If the profit function for a certain business is given by: P(x)= 225x - - 800,use the rule about the limit of a polynomial function to determine P(x).

Find:

Suppose that the rent for an apartment in a city with rent control is $740 per month.Show that the rent function R(t)= 740 is continuous at t = 3.

Find: 81

Find: f(x)

Find: lim p→e

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

The cost C of producing x units of a certain product is given by Find C(x)and discuss what this means.

=

The solution of ≥ 0 is