Answer:
[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]
Step-by-step explanation:
We have the following limit
[tex]\lim_{x \to 0}\ x^2 -2[/tex]
To solve this limit using direct substitution to substitute the value that tends x into f(x) and simplify.
In this case x tends to zero, then we substitute x = 0 in the function and simplify
[tex]\lim_{x \to 0}\ x^2 -2= (0)^2 -2= -2[/tex]
Therefore
[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]
When x approaches 0 then f(x) it tends to -2
