For real number a, which of the following equations are true ? Select all that apply.

ANSWER
[tex] \lim_{x \to \: a}(x) = a[/tex]
[tex]\lim_{x \to \: a}(a) = a[/tex]
[tex]\lim_{x \to \: 5}(x) = 5[/tex]
EXPLANATION
For real number 'a',
[tex] \lim_{x \to \: a}(x) = a[/tex]
is true because we have to plug in 'a' for x.
[tex]\lim_{x \to \: a}(a) = a[/tex]
This is also true because limit of a constant is the constant.
[tex]\lim_{x \to \: 5}(4) = 5[/tex]
is false. The correct value is
[tex]\lim_{x \to \: 5}(4) =4[/tex]
[tex]\lim_{x \to \: 5}(x) = 5[/tex]
is also true because we have to substitute 5 for x.
[tex]\lim_{x \to \: a}(a) = x[/tex]
is also false
The limit should be
[tex]\lim_{x \to \: a}(a) = a[/tex]
Answer:
A, B, D
Step-by-step explanation:
Answers for the rest of the quick check
1. A,B,D
2. 16, D
3. 10a, B
4. 3, D
Good Luck :)