Question

Limit of a function without graphics. Algebraic way :)

Answer 1

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

Answer 2

I think you just plug in 3 for x

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

Factor out the numerator and denominator.

Answer 7

Just got it, thanks :)

Answer 8

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