nycmathdad
Junior Member
- Joined
- Mar 4, 2021
- Messages
- 116
Determine whether g(x) = (x^2 + 9)/(x^2 - 4) is continuous at x = 2.
Let me try this one.
Is f(2) defined?
When x is 2, g(x) becomes (x^2 + 9)/0, which DNE. We can't divide by zero.
Since condition 1 fails, there's no need to test conditions 2 and 3.
I say the function is discontinuous at x = 2.
Yes?
Let me try this one.
Is f(2) defined?
When x is 2, g(x) becomes (x^2 + 9)/0, which DNE. We can't divide by zero.
Since condition 1 fails, there's no need to test conditions 2 and 3.
I say the function is discontinuous at x = 2.
Yes?