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The series \(2+4+6+8+...\) is

A) convergent
B) divergent
C) unbounded
D) none of these

Correct Answer:

A) convergent

Description for Correct answer:
The \(n^{th}\) term \(a_{n}=2n\)

\(\lim\limits_{n\rightarrow \infty}a_{n}=\lim\limits_{n\rightarrow \infty}(2n)=\infty\ne 0\)

Since \(a_{n}\) does not converge to zero,

\(\sum a_{n}\) is divergent.

Part of solved Real Analysis questions and answers : >> Elementary Mathematics >> Real Analysis

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