## Math Problem Statement

Determine the first three terms in the Taylor series expansion of √

z

2 − 1 about z0 = 0 by using

Newton’s binomial formula (Newton’s generalized binomial theorem). Choose the branch of square

root so that √

−1 = i. What is the radius of convergence?

## Solution

## Math Problem Analysis

### Mathematical Concepts

Taylor Series

Binomial Theorem

Complex Numbers

### Formulas

Binomial coefficient formula

Newton's generalized binomial theorem

### Theorems

Newton's generalized binomial theorem

### Suitable Grade Level

Advanced Undergraduate

## Related Recommendation

Determine Radius of Convergence for a Power Series - Detailed Solution

Finding Maximum and Minimum Values of f(z) = z^7 in Region R

Finding Antiderivative and Evaluating Integral of e^(z^(1/2))

Find Radius of Convergence for Power Series using Ratio Test

Expand sin^-1(z) in Terms of z: Taylor Series Expansion