Question

Find the limit of the function by using direct substitution. (6 points) limit as x approaches zero of quantity x squared minus three.

Answer 1

Answer:

$\lim_{x \to 0} x^2-3=-3$

Step-by-step explanation:

This limit can be written as follows

$\lim_{x \to 0} x^2-3$

Direct substitution means that we substitute in the value for x to get our limit

$\lim_{x \to 0} x^2-3\\\\0^2-3\\\\-3$

Answer 2

$\displaystyle\\\lim_{x\to 0}(x^2-3)=0^2-3=-3$