Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity.
g(x)= x, x<-3
5x/(x^2-4x), x>= -3
calculus - MathMate, Saturday, February 12, 2011 at 9:59pm
Evaluate g(x) at points close to the discontinuity:
Lim x-> -3- g(x) = -3
So there is a jump from -3 on the left to -5/7 on the right.
Can you suggest what kind of discontinuity it is?
calculus - Janet, Saturday, February 12, 2011 at 10:19pm
I assume it's a jump since it jumps from one value to another.
calculus - MathMate, Sunday, February 13, 2011 at 8:22am
That is correct.
If you do not have clear definitions of each type of discontinuity, you can check the following link: