Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
Chat with our AI personalities
Yes. If the Maclaurin expansion of a function locally converges to the function, then you know the function is smooth. In addition, if the residual of the Maclaurin expansion converges to 0, the function is analytic.
to explain to the reader
Its periodicity and amplitude remain the same.
Properties of elements are a periodic function of their atomic masses.
A graph has two axes, X and Y. A function can be seen on the graph based on the formula with X and Y representing certain properties in the formula.