Mister Exam

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Sum of series:
1/n^n
3/(n(n+2))
n*2^n
n^2*x^n
Integral of d{x}:
sin(90)
Derivative of:
sin(90)
Identical expressions
sin(ninety)
sinus of (90)
sinus of (ninety)
sin90
Similar expressions
160-66.05369+66.05369*sin(90/24*x)

Sum of series/ sin(90)

Sum of series sin(90)

The solution

You have entered [src]

  1          
 __          
 \ `         
  )   sin(90)
 /_,         
n = 1

\sum_{n=1}^{1} \sin{\left(90 \right)}

Sum(sin(90), (n, 1, 1))

The rate of convergence of the power series

The answer [src]

sin(90)

\sin{\left(90 \right)}

sin(90)

Numerical answer [src]

0.893996663600557890518269498404

0.893996663600557890518269498404

The graph

Sum of series sin(90)

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
```