Sum of series 22

The solution

You have entered [src]

  oo    
 __     
 \ `    
  )   22
 /_,    
i = 1

$$\sum_{i=1}^{\infty} 22$$

Sum(22, (i, 1, oo))

The radius of convergence of the power series

Given number:
$$22$$
It is a series of species
$$a_{i} \left(c x - x_{0}\right)^{d i}$$
- power series.
The radius of convergence of a power series can be calculated by the formula:
$$R^{d} = \frac{x_{0} + \lim_{i \to \infty} \left|{\frac{a_{i}}{a_{i + 1}}}\right|}{c}$$
In this case
$$a_{i} = 22$$
and
$$x_{0} = 0$$
,
$$d = 0$$
,
$$c = 1$$
then
$$1 = \lim_{i \to \infty} 1$$
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

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

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Sum of series 22

The solution

Examples of finding the sum of a series