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# Series

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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 add two series to execute the seriesAdd(f, g).

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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