Exam 11: Limits and Continuity

If f(x)= 6,find by treating x as a constant.

3 =

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).

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

Suppose that the rent for an apartment in a city with rent control is $540 per month.Show that the rent function R(t)= 540 is continuous at t = 5.

Find:

Find: Find

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If f(x)= ,then F(x)=

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

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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 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.

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

The demand function for a certain product is given by p(x)= where p is the price in dollars and x is the quantity sold.Find p(x).

Find:

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Solve the inequality: > 27.