Problem

Find the limit. Use l'Hospital's Rule where appro…

02:03

Problem 6 Easy Difficulty

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.
$\lim _{t \rightarrow 0} \frac{e^{3 t}-1}{t}$

Answer

3

Related Courses

Calculus 1 / AB

Biocalculus Calculus for the Life Sciences

Chapter 4

Applications of Derivatives

Section 3

L'Hospital's Rule: Comparing Rates of Growth

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Video Transcript

So we have a limit. Thio, We're still cereal off the fortune Do the three times t my house one over, teen. Also, if we were to just know goes trading by the limit, we couldn't do it because be dividing. There's something that both zero is gonna go. So zero I'm not. So you could get the top or this will go to 111 Cyril. And then you see, uh, that, uh, we have ah, I won't go. We'll be those form, which is one of those is Cyril or zero. So apply love it'll you need to have. You're, you know, Are you need off the farm? Zero over zero. Who are you? But what? We're in this case in the breeze you over zero. So we're gonna bull head on a plate. Woe. Um so little does Is these limit people limit I do this in place. Studios two off these function on top differentiated. You think they do that function over the function on bottom. So with this prime, I mean differentiate that function so as you know Well, uh, maybe friendship on exponential the we'll just get the same exponential, but the this power from zone. So you're gonna get where the general I tell you, needed free team. But, uh, that she comes down because you're differentiating this inner peace with a tip off. Three Teen, these three. So from that, But like the channel there, you give the three on the Red Eagle one. Whoa. These that move across town zeal that I'm not. We'll be ready. He just won. So you get these form now? We're here. Good shape. Do just good place. Let's see Diego's That is not an X 13 sideways. She looks like a Mexico city. Uh, so you can just go ahead and plug in people's heroes. You're gonna get three times. People are zero right over one. Our bodies you could issue is one. She just get three through one, which is

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