Question

Find the limit of the function by using direct substitution.

Answer 1

ANSWER

$lim_{x \to \: 0}( {x}^{2} - 1) = - 1$

EXPLANATION

The given limit is

$lim_{x \to \: 0}( {x}^{2} - 1)$

To evaluate this limit by direct substitution,

We put x=0 in the function.

This implies that that ,

$lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1$

This simplifies to,

$lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1$

$lim_{x \to \: 0}( {x}^{2} - 1) = - 1$

This means that as x-values approach zero, the function approaches -1.

Answer 2

Answer:

-1

Step-by-step explanation:

For direct substitution, all you have to do is fill in the limit for x and solve... so the limit would be 0 in this case.

x^2-1

0^2-1

-1