Mister Exam

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Sum of series:
68*3*10^-6*0.46
((6n+5)/(7-3n))^(2n+1)*(x/7)^n
6/(3n-2)*(3n+4)
1/3^(2x-1)
Integral of d{x}:
1/((x+2)(x+3))
Identical expressions
one /((x+ two)(x+ three))
1 divide by ((x plus 2)(x plus 3))
one divide by ((x plus two)(x plus three))
1/x+2x+3
1 divide by ((x+2)(x+3))
Similar expressions
1/((x-2)(x+3))
1/((x+2)(x-3))

Sum of series 1/((x+2)(x+3))

The solution

You have entered [src]

-1 + n                
 ___                  
 \  `                 
  \           1       
   )   ---------------
  /    (x + 2)*(x + 3)
 /__,                 
n = 0

$$\sum_{n=0}^{n - 1} \frac{1}{\left(x + 2\right) \left(x + 3\right)}$$

Sum(1/((x + 2)*(x + 3)), (n, 0, -1 + n))

The answer [src]

       n       
---------------
(2 + x)*(3 + x)

$$\frac{n}{\left(x + 2\right) \left(x + 3\right)}$$

n/((2 + x)*(3 + 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
```

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Identical expressions

Similar expressions

Sum of series 1/((x+2)(x+3))

The solution

Examples of finding the sum of a series