Mister Exam

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Sum of series:
n^2*x^n
1/((2n+1)(2n+3))
ln^5(1-2n)/(1-2n)
0,8*(101,48+5,48)*139*302*10^-6
Identical expressions
ln^ five (one -2n)/(one -2n)
ln to the power of 5(1 minus 2n) divide by (1 minus 2n)
ln to the power of five (one minus 2n) divide by (one minus 2n)
ln5(1-2n)/(1-2n)
ln51-2n/1-2n
ln⁵(1-2n)/(1-2n)
ln^51-2n/1-2n
ln^5(1-2n) divide by (1-2n)
Similar expressions
ln^5(1+2n)/(1-2n)
ln^5(1-2n)/(1+2n)

Sum of series ln^5(1-2n)/(1-2n)

The solution

You have entered [src]

  oo               
____               
\   `              
 \       5         
  \   log (1 - 2*n)
  /   -------------
 /       1 - 2*n   
/___,              
n = 1

$$\sum_{n=1}^{\infty} \frac{\log{\left(1 - 2 n \right)}^{5}}{1 - 2 n}$$

Sum(log(1 - 2*n)^5/(1 - 2*n), (n, 1, oo))

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 ln^5(1-2n)/(1-2n)

The solution

Examples of finding the sum of a series