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Calculus/infinite series

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Expert: - 2/26/2008


Question
How do you prove the convergence or divergence of the infinite series from one to infinity 1/ln(n)?

thanks

Answer
Questioner:   Hope
Category:  Calculus
Private:  No
 
Subject:  infinite series
Question:  How do you prove the convergence or divergence of the infinite series from one to infinity 1/ln(n)?

thanks
...............................
Hi, Hope,

How about comparison?

When  n > 1,

ln n < n, so
 1     1
---- > ---
ln n    n

But SUM (1/n) diverges.

Calculus

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Paul Klarreich

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All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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