Question

Of the following tables, which best reflects the value of a function g for which lim g(x) =6

Answer 1

We have to find the table that represents the expression:

`\lim_(x\to7)g(x)=6`

This means that when x approaches 7, the value of g(x) approaches 6.

For the first table, when we approach x = 7 from the left, g(x) approaches 6, but this does not happens when we approach x = 7 from the right side: the value approaches g(x) =7 which differs from 6.

For the second table, when we approach x = 7 from the left, g(x) is differne tfrom 6.

For the third table, we can not see which values approaches g(x) when x approaches 7.

For the fourth table we can see that from both sides of x = 7, g(x) approaches 6, so this table represents the expression:

Answer: Fourth table.