Mister Exam

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n*(asin(1/n))^n

How to use it?
Sum of series:
1/n^n
(2n+1)/(n(n+2)(n+4))
1/(n(n+2)(n+1))
((n^2+5n-3)/(4n+7))^n
Identical expressions
n*(asin(one /n))^n
n multiply by ( arc sinus of e of (1 divide by n)) to the power of n
n multiply by ( arc sinus of e of (one divide by n)) to the power of n
n*(asin(1/n))n
n*asin1/nn
n(asin(1/n))^n
n(asin(1/n))n
nasin1/nn
nasin1/n^n
n*(asin(1 divide by n))^n
Similar expressions
n*(arcsin(1/n))^n

Sum of series/ n*(asin(1/n))^n

Sum of series n*(asin(1/n))^n

The solution

You have entered [src]

  oo            
 ___            
 \  `           
  \         n/1\
   )  n*asin |-|
  /          \n/
 /__,           
n = 1

$$\sum_{n=1}^{\infty} n \operatorname{asin}^{n}{\left(\frac{1}{n} \right)}$$

Sum(n*asin(1/n)^n, (n, 1, oo))

The rate of convergence of the power series

Numerical answer [src]

2.25495253951805932524950787259

2.25495253951805932524950787259

The graph

Sum of series n*(asin(1/n))^n

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
```