ANSWER
[tex]lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]
EXPLANATION
The given limit is
[tex] lim_{x \to \: 0}( {x}^{2} - 1) [/tex]
To evaluate this limit by direct substitution,
We put x=0 in the function.
This implies that that ,
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1[/tex]
This simplifies to,
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1[/tex]
[tex] lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]
This means that as x-values approach zero, the function approaches -1.
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
