# Series

A series given in the form f=$\backslash {\mathbf sum}$ _{i=k} $\widehat{ }{}${ $\backslash$infty} $F(i, x, y,…, z)$, where $i$ — summation index, $k$ — initial value of $i$, $F(i, x, y,…, z)$ — a function of many variables, which may depend on $i$.

There are defined the following arithmetic operations with series: addition, subtraction, multiplication.

Let $f$ and $g$ are series.

To calculate the difference between two series should run the command seriesSubtract(f, g).

For multiplication of two series should run the command seriesMultiply(f, g).

For the expansion of a function in a Taylor series with a certain number of members, you must run teilor(f, point, num), where $f$ — function, $point$ — point, $num$ — a number of members of the series.

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