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Asymptotes Find the vertical and horizontal asymptotes of $f(x)=\frac{\cos x+2 \sqrt{x}}{\sqrt{x}}.$

$\mathrm{y}=2, \mathrm{x}=0$

Calculus 1 / AB

Chapter 2

Limits

Section 5

Limits at Infinity

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:28

Asymptotes Find the vertic…

00:35

Asymptotes Find all horizo…

01:37

Find all vertical asymptot…

01:12

01:16

04:07

Finding vertical asymptote…

01:15

00:39

01:10

Find all horizontal and ve…

01:21

in disclosing were given. Thanks. Coach it, of course. I off x plus. Just go to the banks in my name. I skirted the X now, trying to find the hearts and a souped up on, and we need to consider them limit on the function. Ah, thanks, Jude. Uh, here we have first considered this us over. Skirt of Axel Xmas Speaker. It could deserve Celeste one unit into the limiting the function when extra Jew plus infinity. And now the first thing we can do for this limit will be We divide everything when it's going to the eggs. Left wing agenda limit becomes the goes under exam was cooler than the thanks due on the one that we see as X goes to infinity. This one here goes to zero. Therefore, we have left window to over one and could you to and from here we can conclude it when you could teach you is the hearts and that I should go. And now, for the vertical ascent, we considered limit on their function. When x Children zero from the right, we say that on the top, when actually Judah's you're here. We wouldn't killed his ex ANC on this Judas. Thanks. Here. We'll see that on the top. In the months sitio here will be one and then, Ah, we have the plus Doesn't to me comes the is there? Oh, yeah. Then over this one will be a contender zero. And then from here, we can conclude it's on a rico June, uh, plus infinity. And from here we can see that the x ico to there is the vertical as adult here.

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