A community for students.
Here's the question you clicked on:
 0 viewing
 3 years ago
Hi. In lecture 3, in the derivation of the limit of (1cos Θ)/Θ as Θ>0 . I am able to understand tht the 'gap' 1cosΘ nears 0 as Θ tends to zero. But then, doesnt it mean we re actually ending up with 0/0 rather than 0. can anyone clarify on this ?
 3 years ago
Hi. In lecture 3, in the derivation of the limit of (1cos Θ)/Θ as Θ>0 . I am able to understand tht the 'gap' 1cosΘ nears 0 as Θ tends to zero. But then, doesnt it mean we re actually ending up with 0/0 rather than 0. can anyone clarify on this ?

This Question is Closed

alistair
 3 years ago
Best ResponseYou've already chosen the best response.2This is explained in Session 8 Course Notes Clip 3, Questions and Answers. Basically, as Θ tends to zero, the numerator (1cos Θ) shrinks faster than the denominator Θ, giving a limit of 0. (Think of Θ as the length of the arc here).

gowtham3214
 3 years ago
Best ResponseYou've already chosen the best response.0@alistair : thank you :) that helped :) clarified :)

luckey
 3 years ago
Best ResponseYou've already chosen the best response.0do one thing multiply and divide the whole limit \[(1\cos \theta)\div \theta\] by an additional \[\theta\] then the read the limit as \[\lim_{\theta \rightarrow 0} ((1\cos \theta)\div \theta ^{2}) \theta\] solve the limit as \[\lim_{\theta \rightarrow 0} ((1\cos \theta)\div \theta ^{2}\] it'll come put to be 1/2 then the limit is left as \[\lim_{\theta \rightarrow 0} \theta\]*1/2 this is obviously equals to '0'
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.