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Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why.$\lim _{u \rightarrow \infty} \frac{e^{u / 10}}{u^{3}}$

$\lim _{u \rightarrow \infty} \frac{e^{\frac{u}{10}}}{600 u}=\lim _{u \rightarrow \infty} \frac{d\left(e^{\frac{u}{10}}\right)}{600 d u}=\lim _{u \rightarrow \infty} \frac{e^{\frac{u}{10}}}{6000}=\infty$

Calculus 1 / AB

Chapter 4

Applications of Derivatives

Section 3

L'Hospital's Rule: Comparing Rates of Growth

Differentiation

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So we have a limit. Essam, you goes through with a function? Yeah, to the bar. You You're right. 10. Or you borrow three. So Well, if you go ahead and just plug you Yes, you go safe for all of you. Wait. 10. That's gonna goto well where he goes. Exponential wolves? Definitely. So? Definitely. So you you was gonna go if you are. Time's gonna goto. Verity. I'm Dana Borromeo also grows. They finish you okay? Indefinitely. So he's gonna go to you lately, So we're in good shape applying. Let me go. Well, you don't, and so will we. You can go ahead and different ship dysfunction. One of the friendship Exponential. You get the same explanation, but, uh well, be careful there. Here you have. Ah, on our function will you compose him inside the expansion, which is? You did it out. So you get a fuck off. I want them additional special. So these would be this. But it is inevitable. You you over. So don't eat it. You the either you were 10 time's. One thing you overcome bonded with the friendship, the water All the power comes own. It comes on their plane when you lower before by one. So you get three times you squared. Well, this squared is 3,000,000 won. Um, So what rule tells you that she's leaving Will be exactly the same. Was that lead chair or obviously terrified? There are the community in us. Yeah, you We can when you send you 10 on bottom times. Three years old. Three times. Stan, That's Trudy. Comes, you squirt. Well, let me fix you. Still may be, uh so as you can see here, uh, yet plugging because I would have she goes there, baby, he's gonna go to infinity in under three Times Square. We'll also go to 30 times Your score's gonna go 30 times infinity halting TV. So we're also you love it. So Lovato framework, uh, so we can apply looking again. So when you differentiate this expression on top, you're gonna get Yeah, you advance times wanted begun. Chiharu from the Times 30 on the power Here comes own. So it's ready. Times two the four of you decreases by one. So So it seems you won so putting off their those one over. Well, then 60 three times 36 So you get um, one of their six hundreds, uh, e b b you dense or you. But at this point, you just brilliant. Then you're gonna have the form here. Well, that's gonna go to Katie you Folsom Treaty. So we need to play lobby till again. So this limit will be brutal. One word, six Science. You can put that order willing. It lead us. You those to infinity. Oh, you today, you over 10. Do you dance? Men were beautiful in shit piece. You get more than facto wanted. I'm there. Well, there are two of you. So these guns, or did I read? People Get up. I'm gonna forget their water off the bottom. They're illegal fuel. Just, uh, what is one? Um, is gonna be one over 600 stance, then. So one of her six thousands, but, uh, So you go see if any titties over water help. Is there being on the bottom This girl boy? Either way, So you want to get beat? Well, you're gonna be in a water hole. How many thousands longer. It's it is final. No. What? You got to clear the air. Well, the morale of these long story should be, Huh? Uh, in the exponential Rose Foster, Go around. Not a play on. I don't want a ho peak. So you have your reporting on you Bottom and exponential Will's work faster. So these will our impunity this world were ween the bottle. Which function goes faster? Does getting you that, uh, the lead issue goes to Haiti? Those fools, You can't have that expression.

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