What is the limit as x approaches 3 from the left?

The equation given is abs(4x-12)/(3-x)

What is the limit as x approaches 3 from the right using the same equation?

from the left:
that means you plug in values just to the left of 3 on a number line, like 2.999

so (4*2.999 - 12)/(3-2.999) = -4
(4*2.9999 - 12)/(3-2.9999)= -4

so -4

from the right:
so (4*3.001 - 12)/(3-3.001) = -4
(4*3.0001 - 12)/(3-3.0001)= -4

so -4

which we could have determined by factoring the problem

(4x - 12)/(3- x) = -4(3 - x)/(3 - x) = -4!

This entry was posted on Monday, October 26th, 2009 at 9:22 pm and is filed under x. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

One Response to “What is the limit as x approaches 3 from the left?”

kro t on October 27th, 2009 at 2:31 am

from the left:
that means you plug in values just to the left of 3 on a number line, like 2.999

so (4*2.999 - 12)/(3-2.999) = -4
(4*2.9999 - 12)/(3-2.9999)= -4

so -4

from the right:
so (4*3.001 - 12)/(3-3.001) = -4
(4*3.0001 - 12)/(3-3.0001)= -4

so -4

which we could have determined by factoring the problem

(4x - 12)/(3- x) = -4(3 - x)/(3 - x) = -4!
References :

Cut Frame TV