Mister Exam

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How to use it?
Sum of series:
(6+(-4)^n)/(7^(n+2))
cos(sqrt(n))/n!
2,1
(xi+2)
Canonical form:
2,1
Identical expressions
two , one
2,1

Sum of series/ 2,1

Sum of series 2,1

The solution

You have entered [src]

  5     
 ___    
 \  `   
  \   21
   )  --
  /   10
 /__,   
n = 1

$$\sum_{n=1}^{5} \frac{21}{10}$$

Sum(21/10, (n, 1, 5))

The rate of convergence of the power series

The answer [src]

21/2

$$\frac{21}{2}$$

21/2

Numerical answer [src]

10.5000000000000000000000000000

10.5000000000000000000000000000

The graph

Sum of series 2,1

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
```