Mister Exam

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Sum of series:
nⁿ2
nln(n)sin(n)/(n^6-1)
2i+1/n
(2i+1)/n^2
Identical expressions
nln(n)sin(n)/(n^ six - one)
nln(n) sinus of (n) divide by (n to the power of 6 minus 1)
nln(n) sinus of (n) divide by (n to the power of six minus one)
nln(n)sin(n)/(n6-1)
nlnnsinn/n6-1
nln(n)sin(n)/(n⁶-1)
nlnnsinn/n^6-1
nln(n)sin(n) divide by (n^6-1)
Similar expressions
nln(n)sin(n)/(n^6+1)

Sum of series/ nln(n)sin(n)/(n^6-1)

Sum of series nln(n)sin(n)/(n^6-1)

The solution

You have entered [src]

  oo                 
____                 
\   `                
 \    n*log(n)*sin(n)
  \   ---------------
  /         6        
 /         n  - 1    
/___,                
n = 1

$$\sum_{n=1}^{\infty} \frac{n \log{\left(n \right)} \sin{\left(n \right)}}{n^{6} - 1}$$

Sum(((n*log(n))*sin(n))/(n^6 - 1), (n, 1, oo))

The rate of convergence of the power series

The answer [src]

  oo                 
____                 
\   `                
 \    n*log(n)*sin(n)
  \   ---------------
  /             6    
 /        -1 + n     
/___,                
n = 1

$$\sum_{n=1}^{\infty} \frac{n \log{\left(n \right)} \sin{\left(n \right)}}{n^{6} - 1}$$

Sum(n*log(n)*sin(n)/(-1 + n^6), (n, 1, oo))

The graph

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
```

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Identical expressions

Similar expressions

Sum of series nln(n)sin(n)/(n^6-1)

The solution

Examples of finding the sum of a series