Dive into an extensive video tutorial on power series representations of functions in calculus. Learn how to construct power series for various functions, including 1/(1-3x), ln(1+x), and arctan(x). Explore multiple approaches to solving problems, with detailed explanations on finding the radius and interval of convergence. Master techniques for representing complex functions as power series, enhancing your understanding of advanced calculus concepts. Benefit from step-by-step demonstrations of problem-solving methods, covering a wide range of examples from basic to challenging. Gain a comprehensive grasp of power series in calculus through this in-depth, 2.5-hour educational resource.