SOLUTION: A bit lost here but making progress For the limit {{{matrix( 2,1,lim, "x->4"^"+")}}} {{{ (abs(4-7t))/(14t^2-8t) }}} I know that I can break this down further. So that {{{abs(

Algebra ->  Equations -> SOLUTION: A bit lost here but making progress For the limit {{{matrix( 2,1,lim, "x->4"^"+")}}} {{{ (abs(4-7t))/(14t^2-8t) }}} I know that I can break this down further. So that {{{abs(      Log On


   

Question 990213: A bit lost here but making progress
For the limit matrix%28+2%2C1%2Clim%2C+%22x-%3E4%22%5E%22%2B%22%29 +%28abs%284-7t%29%29%2F%2814t%5E2-8t%29+
I know that I can break this down further.
So that abs%284-7t%29 becomes 7t%2B4 because it's approacing from the right. And thus after some rearranging I cancel and am left with matrix%282%2C1%2Clim%2C+%22x-%3E4%22%5E%22%2B%22%29 +2t+
Now the part which confuses me, what do I do here? do I plug in 4/7? and if so why. Or do I plug in some value on the right approaching 4/7? This is what confuses me about one-sided limits is if they are approaching from one side or another shouldn't they be a a number with a ton of decimals but I can't expect my teacher to give me this question on an exam because I cannot use a calculator. So I am truly misunderstanding something here. What would change if the limit was approaching from the left what would I plug in then?
Any help is greatly apprieceted.
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hello,

all what you need to know is that the function

%28abs%28x%29%29%2Fx = 1   if  x > 0,

and

%28abs%28x%29%29%2Fx = -1   if  x < 0.

The rest is simple.