Assignment 1

Decide from the graph whether a limit exists. If a limit​ exists, find its value. ModifyingBelow lim With x right arrow minus 4 Upper F left parenthesis x right parenthesislimx→−4 F(x) What is the​ limit? Select the correct choice below and fill in any answer boxes in your choice.

2

Find ModifyingBelow lim With x right arrow minus 3 Superscript plus g left parenthesis x right parenthesislimx→−3+ g(x).

2

Consider the function g graphed below. ​g(x)equals=left brace Start 2 By 2 Matrix 1st Row 1st Column x plus 6 comma 2nd Column for x less than minus 2 2nd Row 1st Column negative one half x minus 1 comma 2nd Column for x greater than or equals minus 2 EndMatrix Find ModifyingBelow lim With x right arrow minus 2 Superscript minus g left parenthesis x right parenthesislimx→−2− g(x).

4

The cost of sending a large envelope via​ first-class mail is ​$0.710.71 for the first ounce and ​$0.120.12 for each additional ounce​ (or fraction​ thereof). If x represents the weight of a large​ envelope, in​ ounces, then​ p(x) is the cost of mailing​ it, where ​p(x)equals=​$0.710.71 if 0less than<xless than or equals≤​1, ​p(x)equals=​$0.830.83 if 1less than<xless than or equals≤​2, and so​ on, up through 13 ounces. The graph of p is shown to the right. Use the graph to find each of the following​ limits, if it exists.

.95 1.07 DNE

The notation ModifyingBelow lim With x right arrow 4 f left parenthesis x right parenthesislimx→4f(x) is read​ _______.

the limit, as x approach 4, of f(x)

The notation ModifyingBelow lim With x right arrow 5 Superscript minus Upper F left parenthesis x right parenthesislimx→5−F(x) is read​ _______.

The​ limit, as x approaches 5 from the​ left, of​ F(x)

As x approaches 22​, the value of 44xplus+22 approaches

10