for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity

Answer:
ITS UNDEFINED
Step-by-step explanation:
2-3)/2^2 - 4
-1/(4-4)
-1/0
ITS UNDEFINED
Answer:
[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]
When x = 2.
We can see that the denominator is equal to 0 when the input value is 2.
[tex]2^2-4=4-4=0[/tex]
Obtaining a zero in the denominator indicates a point of discontinuity.
In the graph below, we can see that the function is discontinuous at x = 2.
[tex]\rule[225]{225}{2}[/tex]