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

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amistre64Best ResponseYou've already chosen the best response.0
what the limit of lnk as k to inf?
 one year ago

slaaibakBest ResponseYou've already chosen the best response.0
even if the n'th term tends to 0, it doesn't say the series converges.
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
yeah, was thinking thru the convergence tests :)
 one year ago

slaaibakBest ResponseYou've already chosen the best response.0
harmonic series as an example.
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
does 1+ln(x) drop faster than x tho?
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
might need to use a comparison test
 one year ago

privetekBest 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..
 one year ago

slaaibakBest 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)
 one year ago

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

privetekBest ResponseYou've already chosen the best response.0
would 1/k be less than 1/1+lnk ?
 one year ago
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