Question

I need to know diverges or converges and how?

Answer 1

\[\int\limits_{1}^{\infty}\frac{ lnx}{ (x^{1/3}+x(\ln^3x)) }\]

Answer 2

can't help you on this one? not up on my limits involving infinity
especially diverges or converges

Answer 3

\[\large 0<\frac{ \ln x }{ x^{1/3}+x \ln^3 x }<\frac{ \ln x }{ x \ln^3 x }\]show that \( \large \int_1^{+\infty} \frac {\ln x}{x \ln ^3 x} dx\) is convergent, then conclude that the given series is convergent by comparison test

Answer 4

yes follow sirm3d's advice

Answer 5

\[\frac{ lnx }{xln^3x}=\frac{ 1 }{ xln^2x} .\]

Answer 6

and this diverges?

Answer 7

any other answers?

Answer 8

the bigger one is diverges?????????????!!!!!!!!!!!!!!!!!

Answer 9

idk

Answer 10

@lonelyandforgotten

Answer 11

wow this is hard

Answer 12

I used comparison test ,but it give me the bigger is diverges ??!!