7. Applications of Power Series

In this video, we'll explore how functions can be expressed as power series, a powerful tool in mathematics.
We'll dive into examples with common functions like the exponential function, sine, cosine, logarithm, and arctangent.
By breaking down these functions into infinite sums, we can approximate their values, solve equations, and perform calculus operations with greater ease.
Whether you're studying calculus or applying these concepts in physics and engineering, understanding power series will enhance your problem-solving skills and deepen your comprehension of how functions behave near specific points.
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