Exam 11: Limits and Continuity

Use your calculator to complete the table,and use your results to estimate the given limit.

=

The solution of (x + 9)(x - 1)(x - 5)≥ 0 is

Use the definition of continuity to show f(x)= 2 is continuous at x = 5.

Use the definition of continuity to show that f(x)= is continuous at x = 6.

Solve the inequality: < 0.

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

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

Find: f(x)

The cost C of processing exhaust gases so that you remove all but x percent of the pollutants is given by Find the values of x for which C < 0.Discuss the meaning of the results.

Consumers will purchase q units of a certain product when the price is 340 - 2q dollars per unit.How many units must be sold in order that sales revenue be no less than $14,000?

Find:

Let f(x)= .The only value(s)of x for which f is discontinuous is (are)

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

The profit function for a product is given by P(x)= 12x + - 4320.Determine for what values of x the profit is positive.

The revenue R for a product is given by R(x)= 8500x - where x is the number of units sold.Is this function continuous for x = 20?

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

Solve: (x + 6)(x - 1)(x - 4)≥ 0

Find:

=