Question

Find the limit of the function algebraically.

Answer 1

I simplified and got 3/x^2. Then I plugged in zero and got 3/0 which is undefined? Does this mean that the limit does not exist? @Mertsj

Answer 2

It means the limit is infinity

Answer 3

Oh

Answer 4

$$\lim_{x\to0}\frac{x^2+3}{x^4}$$Recognize our denominator \(x^4\to0\) much faster than \(x^2+3\to0\) so we essentially are getting closer to dividing by zero which causes a blow-up in our function (a singularity at the pole \(x=0\)).

Answer 5

BTW, how is UF?