SOLUTION: determine whether f(x) = (x^2)/((x^2)-4) is continuous or not at x=2. give your reason

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Question 395204: determine whether f(x) = (x^2)/((x^2)-4) is continuous or not at x=2. give your reason
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x%5E2%29%2F%28x%5E2-4%29+=+x%5E2%2F%28%28x-2%29%28x+%2B+2%29%29. The function is not continuous at x = 2 (essential discontinuity). There is a vertical asymptote at x = 2.