Mister Exam

Lang:

Other calculators

How to use it?
Sum of series:
2/(x^2+2x)
1,65
sin(sin(n)/n^(1/3))
6/(9*n^2+12*n-5)
Identical expressions
zero . sixty-three
0.63
zero . sixty minus three

Sum of series/ 0.63

Sum of series 0.63

The solution

You have entered [src]

  2      
 ___     
 \  `    
  \    63
   )  ---
  /   100
 /__,    
i = 1

$$\sum_{i=1}^{2} \frac{63}{100}$$

Sum(63/100, (i, 1, 2))

The rate of convergence of the power series

The answer [src]

63
--
50

$$\frac{63}{50}$$

63/50

Numerical answer [src]

1.26000000000000000000000000000

1.26000000000000000000000000000

The graph

Sum of series 0.63

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
```