Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
ujuge321
Group Title
calculate the following limits:
lim sin(2x)/sin(3x) as x approaches to 0.
 3 years ago
 3 years ago
ujuge321 Group Title
calculate the following limits: lim sin(2x)/sin(3x) as x approaches to 0.
 3 years ago
 3 years ago

This Question is Closed

Outkast3r09 Group TitleBest ResponseYou've already chosen the best response.1
use lhopitals rule which is \[\frac{\frac{d}{dx}[\sin(2x)]}{\frac{d}{dx}[\sin(3x)]}\]
 3 years ago

Outkast3r09 Group TitleBest ResponseYou've already chosen the best response.1
when you do that you will simply get 2/3
 3 years ago

Outkast3r09 Group TitleBest ResponseYou've already chosen the best response.1
so your limit will be 2/3
 3 years ago

ujuge321 Group TitleBest ResponseYou've already chosen the best response.0
show me the process. i never learned that in class.
 3 years ago

Outkast3r09 Group TitleBest ResponseYou've already chosen the best response.1
what calculus class are you in?
 3 years ago

raheen Group TitleBest ResponseYou've already chosen the best response.1
using le'hopital rule ==> lim 3co(2x)/3cos(3x) = 2/3
 3 years ago

ujuge321 Group TitleBest ResponseYou've already chosen the best response.0
calculus 1. Thanks.
 3 years ago

raheen Group TitleBest ResponseYou've already chosen the best response.1
using le'hopital rule ==> lim 3cos(2x)/3cos(3x) = 2/3
 3 years ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.3
If you don't yet know l'Hopitals rule, I assume you do know already that the limit as x > 0 of (sin x) / x is 1. Now write\[\frac{\sin 2x }{\sin 3x} = \frac{2}{3} \frac{\sin 2x/(2x)}{\sin 3x/(3x)}\] Then you observe that the limits of the ratios of sin over x are all 1 and hence the answer is 2/3.
 3 years ago

ujuge321 Group TitleBest ResponseYou've already chosen the best response.0
thank you,
 3 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.