Find the limit
Picture below

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