   Chapter 11.7, Problem 34E

Chapter
Section
Textbook Problem

# Test the series for convergence or divergence.34. ∑ n = 1 ∞ 1 n + n cos 2 n

To determine

To test: Whether the series is convergence or divergence.

Explanation

Result used:

(1) “Suppose that an and bn are the series with positive terms,

(a) If bn is convergent and anbn for all n, then an is also convergent.

(b) If bn is divergent and anbn for all n, then an is also divergent.”

(2) The harmonic series n=11n is divergent.

Calculation:

The given series n=1an=n=11n+ncos2n

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