Find the First Four Non-Zero Terms of the Taylor Series $f ( x ) = \sin 2 x$

question 108

True/False

Find the first four non-zero terms of the Taylor series at x = 0 of $f ( x ) = \sin 2 x$ .
Is $f ( x ) = 2 x - \frac { 8 x ^ { 3 } } { 3 ! } + \frac { 32 x ^ { 5 } } { 5 ! } - \frac { 128 x ^ { 7 } } { 7 ! }$ the correct answer?

---

Definitions:

Asset Classes

Categories of assets with similar characteristics and behavior in the marketplace, such as stocks, bonds, real estate, and cash.

Securities

Assets indicating an equity share in a publicly-listed firm (stock), a lending arrangement with a corporation or government (bond), or ownership rights via options.

Agency Problem

A conflict of interest between the principals, such as shareholders, and the agents managing the company, like executives or managers.

Empire Building

A strategy where a company's executives expand their organization's size and operations, often to increase power and control, regardless of shareholder benefit.