A community for students.
Here's the question you clicked on:
 0 viewing
teresatang
 2 years ago
evaluate the limit of theta approaches zero of sin 3theta/ theta
teresatang
 2 years ago
evaluate the limit of theta approaches zero of sin 3theta/ theta

This Question is Open

kropot72
 2 years ago
Best 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?

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

matricked
 2 years ago
Best ResponseYou've already chosen the best response.0as 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.

CeroOscura94
 2 years ago
Best ResponseYou've already chosen the best response.0Use the formula limx→0sinxx=1
Ask your own question
Sign UpFind more explanations on OpenStudy
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.