Remarks
Note that for Step (2), it is assumed that the derivative of \(f\) can be obtained by differentiating the associated Maclaurin's series of \(f\). As a result, it is not to be expected that every infinitely differentiable function equals to its Maclaurin's series expansion because it takes more than just this condition for equality to happen.

Note that for Step (2), it is assumed that the derivative of \(f\) can be obtained by differentiating the associated Maclaurin's series of \(f\).

As a result, it is not to be expected that every infinitely differentiable function equals to its Maclaurin's series expansion because it takes more than just this condition for equality to happen.

Convergence and Validity of Power Series

Maclaurin Series and Power Series

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

Remarks about convergence of Maclaurin's series

Remarks about convergence of Maclaurin's series