Consider the table of data for the function g(x),below:
x: 2.9, 2.99, 2.999, 3.01, 3.1
g(x):4.41, 4.9401, 4.994, -5.006, -5.0601, -5.61
From the data given, it would appear that the lim g(x) x->3 is likely to be:
The answer is "Does not exist"
Graph it logically. The g(x) values are approaching either 5 or -5 on either side, therefore the function as a whole doesn't have a value approaching 3
Btw, if you haven't noticed, this site is not a good place to get answers. Most people give you the wrong ones and guess !@#$%^&.
Looks to me like
lim x->3- g(x) = +5
lim x->3+ g(x) = -5
Also, there are only 5 x values, but 6 g values.
I would say
Lim g(x) = +5 as x-->3 from the left
Lim g(x) = -5 as x--->3 from the right
Oh, there are 6 x values, but I forgot one. After 2.999 is 3.001. Sorry! Would -5 still be correct though?
Ahem.
5 is one limit; -5 is the other.
If you want an answer, pose a correct question.