Question

On the following table, which best reflects the values of a function g for which lim g (x) =5?

Answer 1

Third one

Explanation:

The third one down has g(x) values across the board that are just about '5' for any value of x, thus g(x) = 5

the others have widely varying values not close to 5

Answer 2

Explanation

We have the following limit:

`\lim_(n\to9)g(x)=5.`

To determine which table best reflects function g(x) values, we analyse the limit.

0. x → 9 means that we must analyze the function g(x) in the range of values of x very near the value x = 9.

,

1. lim = 5 means that for the values of x very near to x = 9, the value of the function must be a number near to 5.

1) From point 1, we can discard the second option because the table shows values of x near x = 5, not x = 9.

2) From point 2, we can discard the first and fourth options:

• the first option shows a jump up from the value y = 4.997 to y = 10.030,

,

• the fourth option shows a jump down from the value y = 100.00 to y = 4.570.

3) The third option is the correct one. It has values of y near to y = 5 for values of x near to x = 9.

Answer

Third option