Question

Find the limit of the function by using direct substitution. Limit as x approaches zero of quantity x squared plus ten. Answer Choices: A) -10 B) Does not exist C) 0 D) 10

Answer 1

Answer:

D

Step-by-step explanation:

So we are given the limit:

$\lim_{x \to 0} (x^2+10)$

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

$\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10$

Therefore, the limit equals 10.