Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
privetek
Group Title
determine whether the series converges:
sum(k=1 > infinity) [1/(1+lnk)]
 2 years ago
 2 years ago
privetek Group Title
determine whether the series converges: sum(k=1 > infinity) [1/(1+lnk)]
 2 years ago
 2 years ago

This Question is Closed

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
what the limit of lnk as k to inf?
 2 years ago

slaaibak Group TitleBest ResponseYou've already chosen the best response.0
even if the n'th term tends to 0, it doesn't say the series converges.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
yeah, was thinking thru the convergence tests :)
 2 years ago

slaaibak Group TitleBest ResponseYou've already chosen the best response.0
harmonic series as an example.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
does 1+ln(x) drop faster than x tho?
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
might need to use a comparison test
 2 years ago

privetek Group TitleBest ResponseYou've already chosen the best response.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..
 2 years ago

slaaibak Group TitleBest ResponseYou've already chosen the best response.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)
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
just use 1/k as a comparison
 2 years ago

privetek Group TitleBest ResponseYou've already chosen the best response.0
would 1/k be less than 1/1+lnk ?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.1
that's the point
 2 years ago

privetek Group TitleBest ResponseYou've already chosen the best response.0
great, thanks!! :)
 2 years ago
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
 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.