2.5 - #1 and ExampleEvaluate the following limit.

2.5 - #2 and ExampleEvaluate the limit of the polynomial p(x) as x approaches infinity.

2.5 - #3Evaluate and for the following rational function. Use or where appropriate. Then give the horizontal asymptote(s) of f (if any).

2.5 - #3 Example

2.5 - #4Evaluate and for the rational function. Then give the horizontal asymptote of f (if any).

2.5 - #4 Example

2.5 - #5 Evaluate and for the following rational function. Use or where appropriate. Then give the horizontal asymptote(s) of f (if any).

2.5 - #5 Example

2.5 - #6Complete the following steps for the given function.a. Use polynomial long division to find the oblique asymptote of f.b. Find the vertical asymptotes of f.c. Graph f and all of its asymptotes with a graphing utility.

2.5 - #6 Example

2.5 - #7Evaluate and for the following function. Then give the horizontal asymptote of f (if any).

2.5 - #7 Example

2.5 - #8Determine whether the following statements are true and give an explanation or counterexample.

2.5 - #9Consider the function Complete parts a and b.

2.5 - #9 Example

2.5 - #10 and ExampleSketch the graph of a function that satisfies the conditions given below.

2.5 - #11Find the vertical and horizontal asymptotes of

2.5 - #11 Example

2.5 - #12If a function f represents a system that varies in time, the existence of means that the system reaches a steady state (or equilibrium). For the system of the population of a culture of tumor cells given by , determine if a steady state exists and give the steady-state value.

2.5 - #12 Example

2.5 - #13A sequence is an infinite, ordered list of numbers that