A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know LH rule ?? Where you can differentiate the numerator and denominator.

richyw
 2 years ago
Best ResponseYou've already chosen the best response.0sorry I keep messing up the latex and openstudy is so slow.

richyw
 2 years ago
Best ResponseYou've already chosen the best response.0and yeah I know lh rule could be applied since \(k\in\mathbb{R}\). But how does that help?

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0Okay since it is (1) , LH rule won't be applied.

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0hmm, so, think like this : (1)^n , where n is any natural number, will always be equal to +1 or 1 right ?

richyw
 2 years ago
Best ResponseYou've already chosen the best response.0agreed. and since \(k\to\infty\) I can see that it's 0. just not sure how to show that in any sort of rigorous way.

richyw
 2 years ago
Best ResponseYou've already chosen the best response.0I need to show it though to show that a series is convergent.

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0hmm, Am not too comfortable with that. @phi

phi
 2 years ago
Best ResponseYou've already chosen the best response.0I thought the definition of a limit L is that for any \( \epsilon >0\), there exists an integer N>0 such that \(  L  x_n < \epsilon \) for all n>N the alternating sign does not affect this definition, because you are only looking at the distance away from L. (0 in this case)
Ask your own question
Ask a QuestionFind 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.