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

## Answer This Question

## Related Questions

- AP Calc (Limits on Piecewise Functions) - I'm trying to find the left, right, ...
- AP Calc (Limits on Piecewise Functions) #2 - I need help trying to find the left...
- Math (Real Analysis) - Prove if f(p) = 0 where abs(f) is continuous at p, then f...
- Calculus (Limits) - Let f be defined as follows, where a does not = 0, f(x) = {(...
- Calc Limits - lim (1+x)^1/x. Give an exact answer. x->0 This reads: The ...
- Calculus - We are doing limits in Calculus, but now we are doing trig limits too...
- calc urgent - Note that f is continuous on (−∞, 6) and (6, ∞...
- u.s. history - How does the constitution limit the powers of government? A. The ...
- Calculus - Show, using limits, that f(x) = x2 – x + 3, is continuous at x = 2.
- calculus (limits) - Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical ...

More Related Questions