Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n }$

question 34

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } n } { \ln n }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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Definitions:

Call Provision

A clause in a bond or other fixed-income security that allows the issuer to repurchase and retire the debt before its maturity date.

Bondholder

A bondholder is an investor or entity that owns bonds issued by corporations or governments and is entitled to receive periodic interest payments and the return of the bond's face value at maturity.

Negative Covenant

A clause in a contract that restricts certain actions by the party involved, often used in lending agreements to protect the lender.

Convertible Bonds

Bonds that can be converted into a predetermined number of the issuing company’s equity shares at certain times during their life, usually at the discretion of the bondholder.