Question

Find the indicated limit, if it exists.(7 points)

Answer 1

Answer:

7

Step-by-step explanation:

The left hand limit is when we approach zero from left. We use the function on this domain in finding the limit.

$\lim_{x \to 0^-} f(x)=7-x^2$

$\lim_{x \to 0^-} f(x)=7-(0)^2=7$

The right hand limit is

$\lim_{x \to 0^+} f(x)=10x+7$

$\lim_{x \to 0^+} f(x)=10(0)+7=7$

Since the left hand limit equals the right hand limit;

$\lim_{x \to 0} f(x)=7$