Question

\[\lim_{x \rightarrow 2} 1-x^{2}\div(2-x)^{4}\]

Answer 1

what are your values close to 2?

Answer 2

I believe so because that would make the denominator 0

Answer 3

\[\frac{1-(1.9999999999)^2}{(2-(1.9999999999))^4}\]
and
\[\frac{1-(2.00000000001)^2}{(2-(2.00000000001))^4}\]

if they seem to match up, you know its got a limit; if they go off in opposite directions; your limit doesnt exist

Answer 4

thank you!

Answer 5

from the looks of it; both sides plunge into -infinity