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privetek
 3 years ago
determine whether the series converges:
sum(k=1 > infinity) [1/(1+lnk)]
privetek
 3 years ago
determine whether the series converges: sum(k=1 > infinity) [1/(1+lnk)]

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

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

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

slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.0harmonic series as an example.

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

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

privetek
 3 years ago
Best ResponseYou've already chosen the best response.0yes, 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..

slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.0it'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)

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

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