Continuity At x = 2

nycmathdad

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Mar 4, 2021
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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?
 
Beer soaked ramblings follow.
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?
 
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