Mister Exam

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How to use it?
Sum of series:
sin(x/2^n)*cos(3*x/2^n)
ln(n+1)/(n^(5/4))
atan(1-pi/2)^n
a+b
Expression:
a+b
Canonical form:
a+b
Identical expressions
a+b
a plus b
Similar expressions
a^n*cos(a)+b^n*sin(n*b)
a-b

Sum of series/ a+b

Sum of series a+b

The solution

You have entered [src]

  n          
 __          
 \ `         
  )   (a + b)
 /_,         
n = 1

$$\sum_{n=1}^{n} \left(a + b\right)$$

Sum(a + b, (n, 1, n))

The answer [src]

n*(a + b)

$$n \left(a + b\right)$$

n*(a + b)

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
```