Sum of series i2

The solution

You have entered [src]

  oo    
 __     
 \ `    
  )   i2
 /_,    
i = 1

$$\sum_{i=1}^{\infty} i_{2}$$

Sum(i2, (i, 1, oo))

The radius of convergence of the power series

Given number:
$$i_{2}$$
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
$$a_{i} = i_{2}$$
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 answer [src]

oo*i2

$$\infty i_{2}$$

oo*i2

Examples of finding the sum of a series

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```
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```
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```
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```
Alternating series
```
(-1)^(n + 1)/n
```
```
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```
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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 i2

The solution

Examples of finding the sum of a series