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absolute((sin(n))/n^2)

How to use it?
Sum of series:
k*x+b
cos(n*p)/4
ln((n^2+1)/n^2)
ln^n2/3^n
Identical expressions
absolute((sin(n))/n^ two)
absolute(( sinus of (n)) divide by n squared )
absolute(( sinus of (n)) divide by n to the power of two)
absolute((sin(n))/n2)
absolutesinn/n2
absolute((sin(n))/n²)
absolute((sin(n))/n to the power of 2)
absolutesinn/n^2
absolute((sin(n)) divide by n^2)

Sum of series/ absolute((sin(n))/n^2)

Sum of series absolute((sin(n))/n^2)

The solution

You have entered [src]

  oo          
____          
\   `         
 \    |sin(n)|
  \   |------|
  /   |   2  |
 /    |  n   |
/___,         
n = 1

$$\sum_{n=1}^{\infty} \left|{\frac{\sin{\left(n \right)}}{n^{2}}}\right|$$

Sum(Abs(sin(n)/n^2), (n, 1, oo))

The rate of convergence of the power series

The answer [src]

  oo          
____          
\   `         
 \    |sin(n)|
  \   --------
  /       2   
 /       n    
/___,         
n = 1

$$\sum_{n=1}^{\infty} \frac{\left|{\sin{\left(n \right)}}\right|}{n^{2}}$$

Sum(Abs(sin(n))/n^2, (n, 1, oo))

The graph

Sum of series absolute((sin(n))/n^2)

Examples of finding the sum of a series

The Sum of the Power Series
```
x^n/n
```
```
(x-1)^n
```
Factorial
```
1/2^(n!)
```
```
n^2/n!
```
```
x^n/n!
```
```
k!/(n!*(n+k)!)
```
Flint Hills Series
```
csc(n)^2/n^3
```
Basel problem
```
1/n^2
```
```
1/n^4
```
```
1/n^6
```
Harmonic series
```
1/n
```
Grandi's series
```
(-1)^n
```
Alternating series
```
(-1)^(n + 1)/n
```
```
(n + 2)*(-1)^(n - 1)
```
```
(3*n - 1)/(-5)^n
```
```
(-1)^(n - 1)*n/(6*n - 5)
```
Newton–Mercator series
```
(-1)^(n + 1)/n*x^n
```
Exam the series for convergence
```
(3*n - 1)/(-5)^n
```