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

D

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.