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arcsin(1/(2^n))^3n

How to use it?
Sum of series:
(((-1)^(n))*(16*x)^(n))/n!
(3×x^n)/(4n^2-9)
log(z^4)
log(3*n)/(n^2-n)
Identical expressions
arcsin(one /(two ^n))^3n
arc sinus of (1 divide by (2 to the power of n)) cubed n
arc sinus of (one divide by (two to the power of n)) cubed n
arcsin(1/(2n))3n
arcsin1/2n3n
arcsin(1/(2^n))³n
arcsin(1/(2 to the power of n)) to the power of 3n
arcsin1/2^n^3n
arcsin(1 divide by (2^n))^3n

Sum of series/ arcsin(1/(2^n))^3n

Sum of series arcsin(1/(2^n))^3n

The solution

You have entered [src]

  oo             
____             
\   `            
 \        3/1 \  
  \   asin |--|*n
  /        | n|  
 /         \2 /  
/___,            
n = 1

$$\sum_{n=1}^{\infty} n \operatorname{asin}^{3}{\left(\frac{1}{2^{n}} \right)}$$

Sum(asin(1/(2^n))^3*n, (n, 1, oo))

The rate of convergence of the power series

The answer [src]

  oo              
 ___              
 \  `             
  \         3/ -n\
  /   n*asin \2  /
 /__,             
n = 1

$$\sum_{n=1}^{\infty} n \operatorname{asin}^{3}{\left(2^{- n} \right)}$$

Sum(n*asin(2^(-n))^3, (n, 1, oo))

Numerical answer [src]

0.182877004861936929672930049203

0.182877004861936929672930049203

The graph

Sum of series arcsin(1/(2^n))^3n

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
```