Question
F(X)= x-2/(x^2-4) is continuous at x=1 and why as limits approach from 1+ and 1-
Answers
Steve
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.
limit as x -> 1 from either side is
(-1-2)/(1-4) = -3/-3 = 1
one would expect this, as f is continuous.
Steve
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
limit as x -> 1 is
(1-2)/(1-4) = 1/3
Makes sense, since f(x) = 1/(x+2) for x ≠ ±2