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(

Question 990213: A bit lost here but making progress
For the limit
I know that I can break this down further.
So that becomes because it's approacing from the right. And thus after some rearranging I cancel and am left with
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(52818)   (Show Source): You can put this solution on YOUR website!
.
Hello,

all what you need to know is that the function

= 1   if x > 0,

and

= -1   if x < 0.

The rest is simple.

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