Assignment 1
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 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
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
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
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