Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
teresatang
Group Title
evaluate the limit of theta approaches zero of sin 3theta/ theta
 one year ago
 one year ago
teresatang Group Title
evaluate the limit of theta approaches zero of sin 3theta/ theta
 one year ago
 one year ago

This Question is Open

kropot72 Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{\theta \rightarrow 0}\sin \theta=\theta\] \[\lim_{\theta \rightarrow 0}\sin 3\theta=3\theta\] Can you finish it now?
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.0
To make life simpler, use \[\lim_{x \rightarrow 0} \frac{sinx}{x}=1\] \[\lim_{\theta\rightarrow 0} \frac{sin (3\theta)}{\theta}=\lim_{\theta\rightarrow 0} \frac{sin (3\theta)}{\theta}\times \frac{3}{3} =3\lim_{\theta\rightarrow 0} \frac{sin (3\theta)}{3\theta}=...\]
 one year ago

matricked Group TitleBest ResponseYou've already chosen the best response.0
as theta approaches 0 the n 3theta also appoaches 0. now we know lim(sinx/x) approaches 1 as x approaches 0 hence lim ((sin(3theta))/theta) =3 *lim ((sin(3theta))/3theta) =3 as 3theta approaches 0.
 one year ago

CeroOscura94 Group TitleBest ResponseYou've already chosen the best response.0
Use the formula limx→0sinxx=1
 one year 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.