Unit1 – Individual Project

The following exercises will examine the concepts of continuity, one-sided limits, and limits at infinity:

Use the properties of limits to answer questions a and b. Answer questions a–g using the limit definition. Answer question a by evaluating B(x) at the given values. Use the following definition to answer question b:

A function f has limit L as x approaches infinity if the values of f are arbitrarily close to L as x approaches infinity. To answer question a, recall that the average of two or more numbers in a set is given by the sum of the numbers divided by the number of elements in the set. Use the above definition of limits at infinity to answer b.