Problem

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

03:29

Problem 2 Easy Difficulty

Find the limit. Use I'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.
$\lim _{x \rightarrow 1} \frac{x^{a}-1}{x^{b}-1}$

Answer

$\frac{a^{a-1}}{b^{b-1}}$

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

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Watch More Solved Questions in Chapter 4

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Video Transcript

she believed a sex abuse. One off the function X aboard A Where is one over to function X before what is one? So, uh well well, like Thio. Like Chicken Weekend. You can apply the Nichols Bulls. Oh, you know don't, like, love you, Jill. For love you go. I also believe it. But he's, you know, form zero or is you or d biddy? So you go. You have the first chick. If you really don't up who's zero on the linear model goes zero or let me down. Top gulps and purity. So six goes to one. Oh, acceptable off. He's gonna go to one. Oh, well, they see partly. You go to one of the older one. Just one. So it's gonna be one. When I was one, there's been a low zero for the bottom. Its exhaust one all the same. Hovers as you can see. There, X B minus one. You know, be all any number. Hey, X through the bar of many, number six goes to one. Goes through our being. Well, here you have the form CEO over zero or visa. Um, so we can apply a little bit. Bill. Ah, I love the rule tells us that, ah, he's doing it. Success One is gonna be equal to relieve it. Six goes to one off the function on top Appreciated So we called dysfunction. If you go that felt function, the bottom function you he's gonna be equal. Leave it off, Ryan. A sex abuse one over lead off, Brian. So when we go on different ships that we're gonna get the Delaney should go to the limit. Six goes to one off the table. That would be with the powers is not a before from zone. So multiply in there, then get slower by one. So hey, through the boat, anything's X to the borough. A mite has one on the same here. When we differentiate that on, well, the costume goes away. So when you different shit extra Barbie, you get B before X it be Where is one? Um Well, um so here, here you have. Ah, or six. Those one. Any number? Did it fall? Excludable are of any number six goes one. He's gonna go to just one for a man. Must be a warm so well, that is one. I'm here the same Wow through the bolero. It was one. So those were just one here. So a name's one. We're you forms one. So those who counsel just, uh getting, didn't you, eh, Overby? So that lead. Well, er is the well, this is true. As long as you're not saying any he but works will be kind of easy, right? Well, you like these is true as long as being is even zero because one of the come on amenities you divide by zero. Asshole, whenever you're dividing our bell should ring. So you can love because I was here, there, but, uh, on lease, who was the other zero on the bottom is gonna be called to this expression a over.

We have video lessons for 86.43% of the questions in this textbook