Find the limit of the function algebraically.

lim x approaches 0 (-7+x)/x^2

3 answers

you know that 1/x -> ∞, so 1/x^2 -> ∞

as x->0, x-7 -> -7
So, (x-7)/x^2 -> -7/x^2 -> -∞
Thank you! the answer choices only say: Does not exist, 7, 0, and -7, so which would it be then?
Hmmm, do 0, 7, -7 exist?