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Sum of series:
x^n/n
n^2*x^(n-1)
1/n^1,5
(2*n-3)/(n^2+2)
Identical expressions
sin(П/ three (ten - one))
sinus of (П divide by 3(10 minus 1))
sinus of (П divide by three (ten minus one))
sinП/310-1
sin(П divide by 3(10-1))
Similar expressions
sin(П/3(10+1))

Sum of series/ sin(П/3(10-1))

Sum of series sin(П/3(10-1))

The solution

You have entered [src]

  oo           
 ___           
 \  `          
  \      /pi  \
   )  sin|--*9|
  /      \3   /
 /__,          
n = 5

\sum_{n=5}^{\infty} \sin{\left(9 \frac{\pi}{3} \right)}

Sum(sin((pi/3)*9), (n, 5, oo))

The rate of convergence of the power series

The answer [src]

0

Numerical answer [src]

3.14143101645690999340655454297e-74

3.14143101645690999340655454297e-74

The graph

Sum of series sin(П/3(10-1))

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
```