Tuesday

September 23, 2014

September 23, 2014

Posted by **Janet** on Saturday, February 12, 2011 at 8:46pm.

g(x)= x, x<-3

5x/(x^2-4x), x>= -3

- calculus -
**MathMate**, Saturday, February 12, 2011 at 9:59pmEvaluate g(x) at points close to the discontinuity:

Lim x-> -3^{-}g(x) = -3

g(-3)=5(-3)/((-3)^2-4(-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 10:19pmI assume it's a jump since it jumps from one value to another.

- calculus -
**MathMate**, Sunday, February 13, 2011 at 8:22amThat 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

**Answer this Question**

**Related Questions**

Calculus (Discontinuities) - Suppose, f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^...

Calculus (Discontinuity) - Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any ...

Calculus - #2 - Suppose g(x)={x^2+2x+1/x+1 if x<1 {2x if x≥1 The best ...

Calculus - #1 - Suppose g(x)={1/x+1 if x<1 {2x-1 if x≥1 The best ...

Calculus - Given f(x) = (x^4 + 17) / (6x^2 + x - 1) Identify any points of ...

Calculus - Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of ...

Calculus - Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of ...

asymptotes and discontinuity 2??? - consider the function f(x) = 1/x - 1 for x ...

Calculus - #4 - Suppose g(x)={1/(x-2) if x<1 {2x-4 if x≥1 The best ...

Calculus - #3 - Suppose g(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best ...