Respuesta :

Answer: OPTION A.

Step-by-step explanation:

You can rewrite it as following:

a. [tex]\lim_{x\to \ -1} 10[/tex]

This means that you must substitute x=10 into the limit.

There is not x, therefore the result is 10:

 [tex]\lim_{x\to \ -1} 10=10[/tex]

b.  [tex]\lim_{x\to \-1} x[/tex]

This means that you must substitute x=-1 into the limit. Then:

 [tex]\lim_{x\to \ -1}=-1[/tex]

Answer:

[tex]a. 10[/tex]

[tex]b. -1[/tex]

Step-by-step explanation:

We want to find;

[tex]\lim_{x \to -1} f(x)[/tex]

a. [tex]\lim_{x \to -1} 10[/tex].

Since this is a constant function, the limit is still 10.

[tex]\lim_{x \to -1} 10=10[/tex].

The second one is a limit of a linear function

b.  [tex]\lim_{x \to -1} x[/tex].

We plug in the value to get;

b.  [tex]\lim_{x \to -1} x=-1[/tex].

The correct answer is A