Further Maths A-Level Problem on limits of summation

[Ishtiyaq]

Show that the summation of ln(n)/(n+4) from n=1 up to infinity diverges. I want a proper way of tackling this particular problem in the exams.

 

[lookagain]

1/(n + 4) < ln(n)/(n + 4), for n > 2, n an integer.

Does 1/(n + 4) converge or diverge as it sums from n = 1 to ∞ ?

 

[Deleted member 4993]

Adding to response above (#2) - study Harmonic Series.