We use the Taylor formula to get the power series, but why it is that way?

We will see how to use Taylor's formula (aka Taylor's Theorem) to find the coefficients of the power series of a function. Remember a Taylor series is still a power series. This formula helps to find the coefficients of the power series of a function. So we still need to worry about the radius and the interval of convergence. To see the formula for the radius of convergence of a power series, please see here:    • Formula for finding the radius of con...  

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