• Support PF! Buy your school textbooks, materials and every day products Here!

Strange infinite series problem using integral test.

  • Thread starter erjkism
  • Start date
54
0
1. Homework Statement
I need to show that

[tex]\Sigma\frac{1}{nlnnlnlnn}[/tex]

from n=27 to n=10^(100,000)

is approximately equal to 8.1
 

Answers and Replies

54
0
i did the u substitution, u =nlnn

and i get

[tex]\int\frac{1du}{u}[/tex]

which just becomes [lnu]
which becomes: [ln(lnlnn)] evaluated from 27 to 10^100,000
 
exk
119
0
is the denominator of your summation n*ln(n)*ln(ln(n))?
 
54
0
yea it is
 

Related Threads for: Strange infinite series problem using integral test.

Replies
3
Views
2K
Replies
16
Views
5K
  • Last Post
Replies
2
Views
112
  • Last Post
Replies
3
Views
217
Replies
2
Views
458
Replies
2
Views
933
Replies
4
Views
4K
  • Last Post
Replies
1
Views
1K
Top