Sum of series 2016

The solution

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$$\sum_{0=0}^{\infty} 2016$$

Sum(2016, (0, 0, oo))

The radius of convergence of the power series

Given number:
$$2016$$
It is a series of species
$$a_{0} \left(c x - x_{0}\right)^{0 d}$$
- power series.
The radius of convergence of a power series can be calculated by the formula:
$$R^{d} = \frac{x_{0} + \lim_{0 \to \infty} \left|{\frac{a_{0}}{a_{0 + 1}}}\right|}{c}$$
In this case
$$a_{0} = 2016$$
and
$$x_{0} = 0$$
,
$$d = 0$$
,
$$c = 1$$
then
$$1 = \lim_{0 \to \infty} 1$$
Let's take the limit
we find

True

False

The rate of convergence of the power series

The answer [src]

oo

$$\infty$$

oo

Numerical answer

The series diverges

The graph

Examples of finding the sum of a series

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```
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Newton–Mercator series
```
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```
Exam the series for convergence
```
(3*n - 1)/(-5)^n
```

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Sum of series 2016

The solution

Examples of finding the sum of a series