We have to find the table that represents the expression:
[tex]\lim_{x\to7}g(x)=6[/tex]
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.
