SOLUTION: Given that −x^2−2x−4 ≤ f(x) ≤ x^2+2x−2 for all x, find lim x→−1 f(x)
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Question 1122070: Given that −x^2−2x−4 ≤ f(x) ≤ x^2+2x−2 for all x, find lim x→−1 f(x)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Squeeze Theorem.
Let 
be an interval containing the point 
and let g, f, and h be functions defined on I except possibly at a.
If
\ \leq\ f(x)\ \leq\ h(x)\ \forall\ x\ \in I\ |\ x\ \not=\ a)
and
\ =\ \lim_{x\right{a}}\,h(x)\ =\ L)
then
\ =\ L)
So you need to evaluate
and
If they evaluate to the same number, then that number is
)
.
If not,
cannot be computed from the given information.
John
My calculator said it, I believe it, that settles it
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