Question

I need help on limits. Can someone help me?

Thanks.

Answer 1

Given\[x^2+4x \le f(x)\le -x^2-4x,-4\le x \le 0\]
can the squeeze theorem be applied to find \[\lim x \rightarrow-2 f(x)\] ?

Answer 2

could you take a screenshot of actual question and attach please

Answer 3

yeah

Answer 4

what do you get if you put in x=-2 into both sides?
I get
-4 <= f(-2) <= 4
that is a big range for f(-2), we don't really know its value, do we?
if it were
0<= f(0) <= 0 for example
we see f(0) is "between" 0 and 0, so must be 0. that is a real squeeze

Answer 5

Oh all you had to do was plug it in... wow I was going around it the hard way. Thanks!