Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
(n+1)^2/2^(n-1)
(-1)^n/n
cos(i*n)/2^n
sin1/n
Integral of d{x}:
sin(30)
Identical expressions
sin(thirty)
sinus of (30)
sinus of (thirty)
sin30

Sum of series/ sin(30)

Sum of series sin(30)

The solution

You have entered [src]

  10         
 __          
 \ `         
  )   sin(30)
 /_,         
n = 1

$$\sum_{n=1}^{10} \sin{\left(30 \right)}$$

Sum(sin(30), (n, 1, 10))

The rate of convergence of the power series

The answer [src]

10*sin(30)

$$10 \sin{\left(30 \right)}$$

10*sin(30)

Numerical answer [src]

-9.88031624092861789987748907294

-9.88031624092861789987748907294

The graph

Sum of series sin(30)

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
```