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

privetek Group Title

determine whether the series converges: sum(k=1 -> infinity) [1/(1+lnk)]

  • one year ago
  • one year ago

  • This Question is Closed
  1. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what the limit of lnk as k to inf?

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

    even if the n'th term tends to 0, it doesn't say the series converges.

    • one year ago
  3. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah, was thinking thru the convergence tests :)

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

    harmonic series as an example.

    • one year ago
  5. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    does 1+ln(x) drop faster than x tho?

    • one year ago
  6. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    might need to use a comparison test

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

    yes, that's what i was thinking.. i got -- 1/(1+lnk) > 1/lnk and i don't know where to go from here or this is even right..

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

    it's the other way around. 1/lnk > 1/(1+ lnk) so if you can determine whether 1/ln k converges, you can say /1(1+lnk) converges. but if 1/lnk diverges, you can't say anything about 1/(1+lnk)

    • one year ago
  9. Algebraic! Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    just use 1/k as a comparison

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

    would 1/k be less than 1/1+lnk ?

    • one year ago
  11. Algebraic! Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

    • one year ago
  12. Algebraic! Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    that's the point

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

    great, thanks!! :)

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

    sure:)

    • 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.