Posted by Janet on Saturday, February 12, 2011 at 8:46pm.
Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity.
g(x)= x, x<3
5x/(x^24x), 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
g(3)=5(3)/((3)^24(3))
=15/21
=5/7
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:
http://en.wikipedia.org/wiki/Classification_of_discontinuities
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