Posted by **daryl** on Wednesday, December 19, 2012 at 4:28pm.

F(X)= x-2/(x^2-4) is continuous at x=1 and why as limits approach from 1+ and 1-

- CALC-LIMITS -
**Steve**, Wednesday, December 19, 2012 at 4:32pm
why what?

limit as x -> 1 from either side is

(-1-2)/(1-4) = -3/-3 = 1

one would expect this, as f is continuous.

- CALC-LIMITS -
**Steve**, Wednesday, December 19, 2012 at 4:35pm
oops. I did x -> -1

limit as x -> 1 is

(1-2)/(1-4) = 1/3

Makes sense, since f(x) = 1/(x+2) for x ≠ ±2

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