## osanseviero Group Title Limit of a function without graphics. Algebraic way :) 8 months ago 8 months ago

1. osanseviero Group Title

$\lim_{x \rightarrow -3}\frac{ x ^{3}+x ^{2}-21x-45 }{ x ^{3}+7x ^{2}+15x+9 }$

2. hwtrain Group Title

I think you just plug in 3 for x

3. osanseviero Group Title

Nope, it is an idetermination. If you plug in, it is 0/0

4. hwtrain Group Title

Ok, since the numerator and the denominator has the same degree of 3 wouldn't the limit just be 1 then?

5. osanseviero Group Title

Nope, there are ways in which you factorize...the thing is that I dont know how to factorize this function

6. shamil98 Group Title

Factor out the numerator and denominator.

7. osanseviero Group Title

Just got it, thanks :)

8. shamil98 Group Title

and simplify what you can in the numerator and denominator , and then plug in your x value