Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

KonradZuse Group Title

Alternating series Q:

  • one year ago
  • one year ago

  • This Question is Closed
  1. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    In the book there is an example that's \[\sum_{n=1}^{\infty} \frac{n}{(-2)^{n-1}}\]

    • one year ago
  2. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Well if n->infinity, then n/(n+1) is 1 since n goes to infinity at the same rate. We also know that the base case, n = 1, IS 1/2, and that the function's monotonic, so n/(n+1) HAS to be between 1/2 and 1...

    • one year ago
  3. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Slight note: Monotonic over [1, infty]

    • one year ago
  4. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how or why? the how is clear right? if \(n>1\) then \(\frac{n+1}{n}>\frac{1}{2}\) for sure

    • one year ago
  5. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Well that's a property of your book's proof. If you like, we can probably do an ALTERNATE one (get it?).

    • one year ago
  6. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    NVM. The point is, whatever your book is doing to prove the alternating series converges, it needs that fact...

    • one year ago
  7. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Well do you have to make a formal proof? Or an AP Calc BC-suitable proof?

    • one year ago
  8. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    • one year ago
  9. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Do we have to do stuff like this, or just apply the rules in the theorm to see if it wortks or not?

    • one year ago
  10. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    lol it was ap calc bc. Nice guess on my part, huh? Yeah for AP you just say "this converges by ALT series test" because of the three conditions for alternating series. Do you know them?

    • one year ago
  11. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    The course I'm in is Calc 2.

    • one year ago
  12. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    The book only says 2 conditons an+1 < an and an = 0.

    • one year ago
  13. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I did the question I was goign to do and was correct, but I did do it a diff way than the professor..

    • one year ago
  14. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Well in that case I can't guess your course needs... and the third condition is that the "non alternating part" has to be always positive.

    • one year ago
  15. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Seems like a lot of L'hospitals rule is used.. Should bone up.

    • one year ago
  16. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh yeah it says let an > 0

    • one year ago
  17. vf321 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    LH is a good thing to always keep in your mind.

    • one year ago
  18. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so hmm... can you check out the first picture and see what they are doing?

    • one year ago
  19. KonradZuse Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    not sure if it's important for my needs.

    • one year ago
    • Attachments:

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.