Sum of series 16

The solution

You have entered [src]

  oo    
 __     
 \ `    
  )   16
 /_,    
x = 1

$$\sum_{x=1}^{\infty} 16$$

Sum(16, (x, 1, oo))

The radius of convergence of the power series

Given number:
$$16$$
It is a series of species
$$a_{x} \left(c x - x_{0}\right)^{d x}$$
- power series.
The radius of convergence of a power series can be calculated by the formula:
$$R^{d} = \frac{x_{0} + \lim_{x \to \infty} \left|{\frac{a_{x}}{a_{x + 1}}}\right|}{c}$$
In this case
$$a_{x} = 16$$
and
$$x_{0} = 0$$
,
$$d = 0$$
,
$$c = 1$$
then
$$1 = \lim_{x \to \infty} 1$$
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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Grandi's series
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(-1)^(n + 1)/n
```
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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 16

The solution

Examples of finding the sum of a series