Show That If $\sum _ { n = 1 } ^ { \infty } a _ { n }$

question 335

Essay

Show that if $\sum _ { n = 1 } ^ { \infty } a _ { n }$ converges, then $\sum _ { n = 1 } ^ { \infty } \cos \left( a _ { n } \right)$ diverges.

---

Definitions:

Registered Stock

Shares of stock whose ownership is registered with the issuing company, making the stockholder eligible to receive dividends and reinstatement rights.

Acquisition

The process of obtaining control of another company by purchase or exchange of stock.

Section 17(a)

Section 17(a) typically refers to a specific provision within a particular legal framework or document, needing clarification regarding the context (e.g., in securities law, it refers to a section of the Securities Act of 1933 addressing fraud).

1933 Act

The 1933 Act, officially the Securities Act of 1933, is a U.S. law enacted to govern the initial sale of securities by issuers to the public, aiming to ensure transparency and prevent fraud.