A community for students.
Here's the question you clicked on:
 0 viewing
fulltilt
 11 months ago
lim of x as sin(3x)/(2x) approaches 0
fulltilt
 11 months ago
lim of x as sin(3x)/(2x) approaches 0

This Question is Open

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1do you know how to evaluate \[\lim_{u \rightarrow 0}\frac{\sin(u)}{u}?\]

myininaya
 11 months ago
Best ResponseYou've already chosen the best response.1This limit should have been already introduced to you by the squeeze theorem (or at least this is the first way I learned what the above limit is) \[\lim_{u \rightarrow 0}\frac{\sin(u)}{u}=1\] commit this limit to memory it will be useful let's take this limit and see if i can give you a hint on how to do your problem since there is a 3x inside that sin let's let u equal 3x and if u goes to 0 then 3x goes to 0 since u=3x and since 3 doesn't go to 0 then the x must go to 0 so anyways \[\lim_{x \rightarrow 0}\frac{\sin(3x)}{3x}=1 \] try to use this limit here for your problem you may find it necessary to multiply by a 1 to do so
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.