Mister Exam

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How to use it?
Sum of series:
1/(4n^2-1)
1/(n*ln(n)*(ln(ln(n)))^2)
(3*n-1)/factorial(n)
log((n^2+1)/n^2)
Identical expressions
xi^ two
xi squared
xi to the power of two
xi2
xi²
xi to the power of 2

Sum of series/ xi^2

Sum of series xi^2

The solution

You have entered [src]

  15      
 ___      
 \  `     
  \      2
  /   x*I 
 /__,     
n = 1

$$\sum_{n=1}^{15} i^{2} x$$

Sum(x*i^2, (n, 1, 15))

The answer [src]

-15*x

$$- 15 x$$

-15*x

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
```