Mister Exam

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How to use it?
Sum of series:
sen(ix)
3^(n-1)/8^(n-1)
(n^2)(tg(pi/2)^5)
log(n-i)
Integral of d{x}:
-x^3
Graphing y =:
-x^3
Limit of the function:
-x^3
Identical expressions
-x^ three
minus x cubed
minus x to the power of three
-x3
-x³
-x to the power of 3
Similar expressions
x^3

Sum of series/ -x^3

Sum of series -x^3

The solution

You have entered [src]

  6      
 ___     
 \  `    
  \     3
  /   -x 
 /__,    
n = 2

$$\sum_{n=2}^{6} - x^{3}$$

Sum(-x^3, (n, 2, 6))

The answer [src]

    3
-5*x

$$- 5 x^{3}$$

-5*x^3

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
```