There's actually no need to factor here (although what you did is not wrong). When you substitute 0 in for x you get 0/4 which is 0. So the limit is 0.
Hi,
I have just started a calulus class (i'm a high school senior) and we've been introduced to limits.
I am unsure of how to facor the following
With the limit approaching zero.
I factored it to:
x(x+5)/(x+4)
and got a limit of zero. Is that the final answer or is there another way to get another value?
Thanks in advance for your help!
0/c is just 0 as long as c is not 0.
0/0 is an indeterminate form. More work needs to be done to compute the limit. There isn't one technique that will work all the time, but if you have a rational function (a quotient of polynomials), then the factoring technique you're talking about will always work.