if-2x-le-gx-le-x4-x2-2-for-all-x-evaluate-displaystyle-lim_x-to-1gx

Question

If $ 2x \le g(x) \le x^4 - x^2 +2 $ for all $ x $, evaluate $ \displaystyle \lim_{x 	o 1}g(x) $.

Daniel Jaimes · Accepted Answer

there&#x27;s a problem with thirty of this tour carcass. Eighth edition section two point three If two X is less than or equal to G. F. IX is listening cortex to the fourth power minus X squared plus two for all Ex evaluates. The limit is expertise. One g we will applying the limit. Six. Produce one to each of the function shown here. Two acts last in equal to the limit is expressions one mg of X Jesus unequal to the limited sector. Perch is warm of X to the fourth power minus X squared plus two. And we will attempt to solve the lower and upper element and see if the squeezy term tells us anything about the limit of interesting for us, as I suppose is one. This lower limit approaches to, as we can see two times one and for the upper limit and sex approaches one x to the fourth minus X squared plus two approaches one to the forest minus one squared us, too, and then one for forthrightness. One. The one minutes one or a zero, and we&#x27;re just about to for the upper limit and the lower in the mix. So we can definitively state because the limit a cz experts is one of jean must be greater. Their ankle to two and less than equal to that is limit must equal two. How by the squeeze there.

Problem

Prove that $ \displaystyle \lim_{x \to 0}x^4 \cos…

Problem 38 Easy Difficulty

If $ 2x \le g(x) \le x^4 - x^2 +2 $ for all $ x $, evaluate $ \displaystyle \lim_{x \to 1}g(x) $.

Answer

2

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