I need help on limits. Can someone help me?

Thanks.

Question

I need help on limits. Can someone help me? 

Thanks.

anonymous · Answer

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

ganeshie8 · Answer

could you take a screenshot of actual question and attach please

anonymous · Answer

yeah

anonymous · Answer

attachment

anonymous · Answer

attachment

phi · Answer

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

anonymous · Answer

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