It Can Be Shown That $( 1 + x ) ^ { n } = 1 + n x + \frac { n ( n - 1 ) } { 2 ! } x ^ { 2 } + \frac { n ( n - 1 ) ( n - 2 ) } { 3 ! } x ^ { 3 } \ldots$

question 278

Multiple Choice

It can be shown that $( 1 + x ) ^ { n } = 1 + n x + \frac { n ( n - 1 ) } { 2 ! } x ^ { 2 } + \frac { n ( n - 1 ) ( n - 2 ) } { 3 ! } x ^ { 3 } \ldots$ is true for any real number $n$ (not just positive integer values) and any real number $x$ , where $| x | < 1$ . Use this series to approximate the given number to the nearest thousandth.
- $$1.06 ^ { 3 }$$

• A) 0.837
• B) 1.191
• C) 0.840
• D) 1.194

---

Definitions:

Ideal Self

The perfect version of oneself that an individual aspires to be, shaped by personal aspirations, goals, and societal influences.

Meaningful Ideal Self

A person's aspirational image of themselves that aligns with their values and aspirations, often influencing consumer behavior and self-perception.

Attract or Repel

Terms referring to the forces or strategies used to draw in or drive away entities such as customers, particles, or interest.

Self-concept

An individual's perception of themselves, encompassing beliefs, feelings, and thoughts regarding their own identity.