Find the First Four Non-Zero Terms of the Taylor Series $f(x)=7(1+x)^{1 / 2}$

question 59

Essay

Find the first four non-zero terms of the Taylor series about zero for the function $f(x)=7(1+x)^{1 / 2}$ .Leave coefficients in fraction form.

---

Definitions:

Henry Murray

An American psychologist best known for his development of the Thematic Apperception Test (TAT) and his theory of personality based on needs.

Carl Rogers

An influential American psychologist known for developing the client-centered approach to psychotherapy and his contributions to humanistic psychology.

Mental Abilities

The cognitive functions and capabilities of the brain, including reasoning, memory, problem-solving, and understanding.

Personality Structure

A framework used in psychology to categorize and understand the different components that make up human personality, such as traits, behaviors, and thought processes.