Question

Which statement describes whether the function is continuous at x = 2?

O The function is continuous at x = 2 because f(2) exists.
O The function is continuous at x = 2 because lim f(x) exists.
X-2
The function is not continuous at x = 2 because f(2) does not exist.
The function is not continuous at x = 2 because lim f(x) does not equal f(2).
X-2

Answer 1

on edge its fs not b or c

Explanation:

Answer 2

Answer: (b)

Explanation:

Given

The function is given as

`f(x)=(x^2-12x+20)/(x-2)`

Solving the function

`f(x)=(x^2-2x-10x+20)/(x-2)\\\\f(x)=((x-2)(x-10))/((x-2))\\\\f(x)=x-10`

for
`x=2`

`f(2)=2-10\\f(2)=-8`

The function is continuous at
`x=2` because
`\lim_(x \to 2) f(x)` exists.

If the limit exists at a point, then the function is continuous.