Calculus Question about limits?

1 ⤊

Calculus Question about limits?

Where is this function continuous...

h(x)=2x/x-4

2007-10-01 08:33:45 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

The domain of this function h(x) = 2x/( x-4) (I guess that's what you mean) is the set D = (-oo, 4) U (4, oo) = R - {4}. In it's domain h is given by the ratio of 2 continuous functions, so h is continuous on D.

2007-10-01 08:44:39 · answer #1 · answered by Steiner 7 · 0⤊ 1⤋

When x equals anything above or below 4, but not including 4.

2007-10-01 15:36:57 · answer #2 · answered by mrr86 5 · 0⤊ 0⤋

h(x) is undefined at x = 4, so is continuous at x> 4, and at x <4

2007-10-01 15:37:02 · answer #3 · answered by John V 6 · 1⤊ 0⤋

All real numbers except 4

2007-10-01 15:37:44 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋